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Leaf silicification in grasses — A review
Item type: Journal Article • Journal: Journal of the Grassland Society of Southern Africa • Authors: P.J. O'Reagain --- Department of Agriculture, M.T. Mentis --- Centre for Resource Ecology,Silica is absorbed from the soil by many grasses in an active or passive manner depending upon the species involved. It is carried upwards in the transpiration stream and deposited throughout the plant where it polymerizes to form amorphous silica... -
Processes and Functions in Higher Education Students Adjusting to a New Learning Environment: Applying The Mmogotm-Method
Item type: Journal Article • Journal: Journal of Psychology in Africa • Authors: Vera Roos --- North-West University, South Africa M. Kenneth Maine --- North-West University, South Africa Itumeleng P Khumalo --- North-West University, South AfricaThis article explored the processes and functions amongst a community of students who had to adjust to new social and academic settings. Thirteen university students of a predominantly seTswana ethnic background participated in the study (males = 5, females =... -
A Matching Technique and Structure Theorems for Sturm-liouville Boundary Value Problems with Interior Singularities
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: ThomasM. AchoAsymptotic solutions for the interior double pole Sturm-Liouville boundary value problem are obtained using a method of matched asymptotic approximations. Employing asymptotic forms of the Whittaker functions, the WKB approximations and Airy functions, solutions are obtained valid and non-vanishing on... -
Universal harmonic functions
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: A. BonillaIn this paper, we prove that there exists an infinite dimensional closed vector space M of harmonic functions in R n such that each v ∈ M \{0} is a universal harmonic function. -
Convergence of ray sequences of Padé approximants for 2 f 1(a, 1; c; z), (c > a > 0)
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: K. Driver K. JordaanThe Padé table of 2 F 1(a, 1; c; z) is normal for c > a > 0 (cf. [4]). For m ≥ n - 1 and c ∉ Z-, the denominator polynomial Q mn (z) in the [m/n]... -
Good Projections of Spaces of Vector Measures onto Subspaces of Bochner Integrable Functions
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Giovanni EmmanueleWe show that the complementability of L 1 (μ, X) in cabv (μ, X) implies the complementability of L 1 (μ, K(Z, X)) in cabv (μ, K(Z, X)), provided the projection from cabv (μ, X) onto L 1 (μ, X)... -
The Pills Problem Revisited
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: CharlotteA.C. Brennan Helmut ProdingerWe revisit the pills problem proposed by Knuth and McCarthy. In a bottle there are m large pills and n small pills. The large pill is equivalent to two small pills. Every day a person chooses a pill at random... -
Some Banach Space Characterizations Of The δ2 Condition
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: J. Alexopoulos D. Barcenas EchandiaIn [1] J. Alexopoulos has shown that if Φ ∈ δ2 and if its complement ψ satisfies limt ψ∞ψ(ct) ψ(t) = ∞ for some c > 0 then a bounded set K ⊂ L Φ is relatively weakly compact if... -
Minima of Digital Functions Related To Large Digits in q-Adic Expansions
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: PeterJ. GrabnerWe study the extremal values of fractal continuous functions related to the counting function of the q-ary digits larger than d. -
The
Lu Lu -semigroup for Envelopes Of Functions Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: E. Malkowsky C.H. RohwerIn the theory of non-linear smoothers a semigroup of operators has been established, that structures the rank based selectors in a lattice for the purpose of comparison and analysis. The well known upper and lower envelopes of functions can be... -
Quasi-orthogonality and zeros of some 3 F 2 hypergeometric polynomials
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: K.A. Driver S.J. JohnstonThe location of the zeros of general hypergeometric polynomials are linked with those of the classical orthogonal polynomials in some cases, notably 2 F 1 and 1 F 1 hypergeometric polynomials which have been extensively studied. In the case of... -
Julia's Lemma and concave schlicht functions
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Karl-Joachim WirthsLet D denote the open unit disc and let λ > 1. It is proved that a function Φ holomorphic in D has the following properties: -
Boman's theorem: Strengthened and applied
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: H. L. Bentley Paul CherenackA 1-variable calculus type argument is used to show that, for a function f : R 2 → R, if for all (a, b) ∈ R 2 we have that f o c is smooth for every smooth curve c... -
The first and last ascents of size d or more in samples of geometric random variables
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Charlotte Brennan Arnold KnopfmacherWe consider words or strings of characters a 1 a 2 a 3…a n of length n, where the letters ai ∈ N are independently generated with a geometric probability -
Correction to the paper "Embedding c 0 in the space of Pettis integrable functions"
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: FranciscoJ. FrenicheA complete argument is given for the proof of Theorem 5 in [F]. -
On the Maximal Function for the Generalized Ornstein-uhlenbeck Semigroup.
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Jorge Betancor Liliana Forzani Roberto Scotto WilfredoO. UrbinaIn this note we consider the maximal function for the generalized Ornstein-Uhlenbeck semigroup in R associated with the generalized Hermite polynomials {H μ n } and prove that it is weak type (1,1) with respect to dλ... -
Peaks and Valleys in Motzkin Paths
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Charlotte Brennan --- , South Africa Simon Mavhungu --- Department of Mathematics, South AfricaA Motzkin path is a non-negative lattice path in N2 starting at the origin, where only three types of steps are allowed: the diagonal up step (1, 1) called u, the diagonal down step (1, −1) called d and the... -
Vector integration
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: E.G.F. Thomas --- Johann Bernoulli Institute for Mathematics and Computer Science, The NetherlandsThis paper deals with the theory of integration of scalar functions with respect to a measure with values in a, not necessarily locally convex, topological vector space. It focuses on the extension of such integrals from bounded measurable functions to... -
Banach-Stone-like theorems for lattices of uniformly continuous functions
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: M. Hušek --- , A. Pulgarín --- Avda. Universidad s/n, SpainNew couples of uniform spaces X, Y are found out for which a lattice isomorphism between U(X) and U(Y) implies a uniform homeomorphism between X and Y. -
A note on generating functions for Rogers-Szegő polynomials
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Jian Cao --- Department of Mathematics, P.R. ChinaIn this paper, the details of certain Carlitz's generating functions for Rogers-Szegőpolynomials and their generalizations are given by Carlitz's q-operators. In addition, an additional proof of Srivastava-Jain's generating function is shown. At last, generalizations of Srivastava-Agarwal type generating functions are... -
Schur spaces and weighted spaces of type H ∞
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Alejandro Miralles --- Instituto Universitario de Matemáticas y Aplicaciones de Castelló (IMAC), Departamento de Matemáticas, SpainWe extend some results related to composition operators on H υ(G) to arbitrary linear operators on H υ0(G) and H υ(G). We also give examples of rank-one operators on H υ(G) which cannot be approximated by composition operators. -
Selmer groups in twist families of elliptic curves
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Ilker Inam --- Faculty of Art and Science, Department of Mathematics, Bursa-TurkeyThe aim of this article is to give some numerical data related to the order of the Selmer groups in twist families of elliptic curves. To do this we assume the Birch and Swinnerton-Dyer conjecture is true and we use... -
Superposition operators between weighted spaces of analytic functions
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Christopher Boyd --- School of Mathematical Sciences, Ireland Pilar Rueda --- Departamento de Análisis Matemático, Facultad de Matemáticas, SpainWe study the existence and the continuity of superposition operators between weighted spaces of holomorphic functions in terms of the weights. -
Seasonality in fish assemblage structure in an East African mangrove creek
Item type: Journal Article • Journal: African Journal of Marine Science • Authors: MW Wainaina --- , Kenya B Kaunda-Arara --- Department of Fisheries and Aquatic Sciences, Kenya JM Njiru --- Department of Fisheries and Aquatic Sciences, KenyaThe spatial and seasonal structures of fish assemblages in a tropical mangrove tidal creek, Tudor, Kenya, were analysed from monthly survey data, extending from October 2007 to July 2008, and covering the north-east (NEM; October–March) and south-east (SEM; April–July) monsoon... -
Gender Earnings Disparity and Discrimination in Urban China: Unconditional Quantile Regression
Item type: Journal Article • Journal: African Journal of Science, Technology, Innovation and Development • Authors: Yao Tang --- School of Sociology and Social Policy, UK Wenjin Long --- School of Sociology and Social Policy, UKMarket-oriented economic reform has gone through several key stages to bring substantial changes to the current Chinese economy. It accelerated after 1992, and ushered in the pattern transformation since ‘scientific development outlook’ raised in 2002. During this dramatic and complicated... -
Alterations in serum protein fractions and Na+-K+ATPase activity in Clarias gariepinus infested with henneguyosis in Ismailia, Egypt
Item type: Journal Article • Journal: African Journal of Aquatic Science • Authors: DM Sabri MA Danasoury IAM Eissa HM KhouraibaTotal serum protein, protein fractions and Na+-K+ATPase activity were estimated in Clarias gariepinus collected from surface waters in Ismailia governorate, Egypt. Comparisons were made between fish infested with respiratory henneguyosis and non-infested fish. Results of serum analysis revealed a significant... -
Convolution Operators that Factor Through a Hilbert Space
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Paulette SaabLet G be a compact abelian group, and let X be a Banach space. We investigate vector-valued extensions of a result of Pisier concerning certain convolution operators that factor through Hilbert spaces. For example we show that X is finite... -
On a Divergent Series of Measurable Functions
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: R. AnantharamanLet (t n (t)) be the sequence of trigonometric functions on [0, 1] with real scalars. We prove a generalization of the likely known result: – for every p ≥ 1 the series ∑(|t n (t)| p... -
When is every Hausdorff continuous interval-valued function bounded by continuous functions?
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Nicolae Dâneţ --- , RomaniaIn this paper we characterize the topological spaces X for which ℍ ft (X) = ℍ cm (X). Here ℍ ft (X) is the set of all finite Hausdorff continuous interval-valued functions on X and ℍ cm (X) is the... -
Reliable finite element methods for self-adjoint singular perturbation problems
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: JeanM.-S. Lubuma --- Department of Mathematics and Applied Mathematics, South Africa KailashC. Patidar --- Department of Mathematics and Applied Mathematics, South AfricaIt is well known that the standard finite element method based on the space Vh of continuous piecewise linear functions is not reliable in solving singular perturbation problems. It is also known that the solution of a two-point boundary-value singular... -
Notes Concerning Characterizations of Quasi-F Frames
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Themba Dube --- Department of Mathematical Sciences, South Africa Mack Matlabyane --- Department of Mathematics and Applied Mathematics, South AfricaWe give several characterizations of quasi F-frames. To name a few, let ℛL denote, as usual, the ring of real-valued continuous functions on a completely regular frame L. Then, L is quasi-F iff Ann2(α) + Ann2(β) = ℛL whenever α... -
Evaluating diagnostic tests
Item type: Journal Article • Journal: Southern African Journal of Anaesthesia and Analgesia • Authors: Johan F. Coetzee --- Department of Anaesthesiology and Critical Care, South AfricaAnaesthesiologists are increasingly more involved in perioperative patient care wherein interpretation of special investigations is crucial to making therapeutic and prognostic decisions. Furthermore, anaesthetic journal publications increasingly rely on diagnostic tests, without paying sufficient attention to the methodology for evaluation... -
The hybrid mean value of L-functions and a special character sums
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Jianghua Li --- College of Science, P.R. China Xinqiang Qin --- College of Science, P.R. China Fang Zhang --- College of Science, P.R. ChinaThe main purpose of this paper is using the estimation of the character sums to study the 2k-th power mean of L-functions with the weight of a character sums, and give an interesting asymptotic formula for it. -
South African Statements of Accounting Practice as Part of a User-oriented Framework
Item type: Journal Article • Journal: De Ratione • Authors: J.A. Miller --- University of Natal-Durban,In this third and final article on a suggested Hierarchy of Objectives for Financial Reporting the author deals with Statements of Accounting Practice as the operational level thereof, implementing concepts and principles towards achieving the objectives defined. As a consequence... -
Knowledge and utilisation of expanded functions of oral hygiene and barriers to successful implementation in public healthcare services in Gauteng
Item type: Journal Article • Journal: Southern African Journal of Epidemiology and Infection • Authors: Veli Lukhozi --- Department of Public Health, School of Health Care Sciences, Muhammad Hoque --- Department of Public Health, School of Health Care Sciences, Hendry Heever --- Department of Public Health, School of Health Care Sciences,Dental hygiene continues to evolve as a profession. It needs greater regulation and autonomy. Since the burden of disease and demand for treatment is increasing, there is a great need for existing oral hygiene services to be utilised effectively and... -
On the self-convolution of generalized Fibonacci numbers
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Hacène Belbachir --- , Algeria Toufik Djellal --- , Algeria Jean-Gabriel Luque --- Normandie Université, Université de Rouen, FranceWe focus on a family of equalities pioneered by Zhang and generalized by Zao and Wang and hence by Mansour which involves self convolution of generalized Fibonacci numbers. We show that all these formulas are nicely stated in only one... -
Model for cutting force prediction in high precision single-point diamond turning of optical silicon
Item type: Journal Article • Journal: African Journal of Science, Technology, Innovation and Development • Authors: M. K. O. Ayomoh --- Mechatronics Engineering Department, South Africa K. A. Abou-El-Hossein --- Mechatronics Engineering Department, South Africa O. A. Olufayo --- Mechatronics Engineering Department, South AfricaThis paper presents a mathematical model predicated on a finite series convergent scheme and derivative functions of multi-variants obtained from a cutting force constitutive equation for onward prediction of the maximum cutting force at the tip of a single-point diamond... -
A novel system dynamics’ model for the motors of a sectoral innovation system–simulating and policymaking
Item type: Journal Article • Journal: African Journal of Science, Technology, Innovation and Development • Authors: Sayyed Mohsen Azad --- Department of Industrial Engineering, Iran Seyed Hassan Ghodsypour --- Department of Industrial Engineering, IranIn recent years, science and technology policymaking has been taken into consideration by many researchers. One of the most important fields of this policymaking is innovation systems’ management; which is divided into national, regional, sectoral and technological innovation systems. In... -
Quantitative pedology to evaluate a soil profile collection from the Brazilian semi-arid region
Item type: Journal Article • Journal: South African Journal of Plant and Soil • Authors: Helena SK Pinheiro --- Agronomy Institute, Soil’s Department, Brazil Lúcia Helena C dos Anjos --- Agronomy Institute, Soil’s Department, Brazil Pedro AM Xavier --- Agronomy Institute, Soil’s Department, Brazil Cesar S Chagas --- Embrapa Solos, Brazil Waldir de Carvalho Junior --- Embrapa Solos, BrazilThis work applies pedometric tools to analyse soil property information relevant to morphological characterisation and soil classification. The objective of this paper was further to identify similarities in soil properties among a soil profile collection. The harmonisation of soil data... -
Analysing the diffusion and adoption of renewable energy technologies in Africa: The functions of innovation systems perspective
Item type: Journal Article • Journal: African Journal of Science, Technology, Innovation and Development • Authors: Aschalew Demeke Tigabu --- African Centre for Technology Studies (ACTS), KenyaRenewable energy technologies have increasingly been promoted to address energy poverty and environmental sustainability challenges in Africa. Yet, their diffusion and uptake remain marginal. The focus of renewable energy technology diffusion research in Africa has largely been on identifying technological,... -
A comparison of diameter distribution models for Khaya ivorensis A.Chev. plantations in Brazil
Item type: Journal Article • Journal: Southern Forests: a Journal of Forest Science • Authors: Rafaella Carvalho Mayrinck --- School of Environment and Sustainability, Canada Antonio Carlos Ferraz Filho --- Department of Engineering, Brazil Andressa Ribeiro --- Department of Engineering, Brazil Ximena Mendes de Oliveira --- Department of Forest Science, Brazil Renato Ribeiro de Lima --- Department of Statistic, BrazilThe purpose of this study was to compare Beta, Gamma, Johnson's SB and Weibull functions fitted by different methods for describing the horizontal structure of Khaya ivorensis (African mahogany) plantations in Brazil. The database comprised 128 plots from six plantations... -
Developing a taper model for the Pinus elliottii × P. caribaea var. hondurensis hybrid in South Africa
Item type: Journal Article • Journal: Southern Forests: a Journal of Forest Science • Authors: Madeleen Algera --- Planning Department, Komatiland Forest, South Africa Christoph Kätsch --- Postgraduate Forest Programme, South Africa Paxie W Chirwa --- Postgraduate Forest Programme, South AfricaA relatively new hybrid, Pinus elliottii × P. caribaea var. hondurensis (Pexc), for which a taper model does not exist, is being planted commercially in South Africa. This study primarily focused on developing a taper model for Pexc in South... -
On the Ramanujan-type congruences modulo 8 for the overpartitions into odd parts
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Mircea Merca --- University of Craiova, RomaniaLet denote the number of overpartitions of n into odd parts. In this paper, we provide a complete characterization of Ramanujan-type congruences modulo 8 for the overpartition function considering the number of odd positive divisors of and the relations of... -
On q-analogs of Struve functions
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Karima M. Oraby --- Suez University, Egypt Zeinab S.I. Mansour --- Cairo University, EgyptIn this paper, we introduce q-analogs of the Struve-Bessel functions in terms of q-sine functions. We study the reality of the zeros of the q-Struve Bessel functions and their properties. Also, the interlacing of the zeros of the q-Struve Bessel... -
Equivalent almost periodic functions in terms of the new property of almost equality
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Juan Matías Sepulcre --- University of Alicante, Spain Tomás Vidal --- Universidad Nacional de Educación a Distancia (UNED), SpainIn this paper we introduce the notion of almost equality (or, more specifically, almost equality by translations) of complex functions of an unrestricted real variable in terms of the new concept of ϵ-translation number of a function with respect to... -
Further investigations on the two variables second Appell hypergeometric matrix function
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Mohamed Abdalla --- College of Science, King Khalid University, Saudi Arabia Hala Abd-Elmageed --- South Valley University, Egypt Mahmoud Abul-Ez --- Sohag University, Egypt Mohra Zayed --- College of Science, King Khalid University, Saudi ArabiaOver the last two decades, special matrix functions have become a major area of study for mathematicians and physicists. The famous four Appell hypergeometric matrix functions have received considerable attention by many authors from different points of view. The present... -
Non-existence of translation-invariant derivations on algebras of measurable functions
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Aleksey Ber --- National University of Uzbekistan, Uzbekistan Jinghao Huang --- University of New South Wales, Australia Karimbergen Kudaybergenov --- Karakalpak State University, Uzbekistan Fedor Sukochev --- University of New South Wales, AustraliaLet S(0,1) be the *-algebra of all classes of Lebesgue measurable functions on the unit interval (0,1) and let be a complete symmetric Δ-normed *-subalgebra of S(0,1), in which simple functions are dense, e.g., L ∞(0,1), L log(0,1), S(0,1) and... -
When is the composition of functions measurable?
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: F. Javier Fernández --- Universidade de Santiago de Compostela, Spain F. Adrián F. Tojo --- Universidade de Santiago de Compostela, SpainIn this article we explore under which conditions on the interior function the composition of functions is measurable. We also study the sharpness of the result by providing a counterexample for weaker hypotheses. -
Twisted sums of c 0(I)
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Jessú M.F. Castillo --- Universidad de Extremadura, Instituto de Matemáticas Imuex, Spain Alberto Salguero Alarcón --- Universidad de Extremadura, Instituto de Matemáticas Imuex, SpainWe study in this paper a few remarkable properties of twisted sums Z(κ, X) of c 0(κ) and a Banach space X. We first prove a representation theorem for such twisted sums from which we will obtain, among others, the... -
On the joint universality for Dirichlet series connected to periodic zeta-functions
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Antanas Laurinčikas --- Vilnius University, LithuaniaIn the paper, we consider a collection of absolutely convergent Dirichlet series which in the mean are close to periodic and periodic Hurwitz zeta-functions, and prove that the shifts of mentioned Dirichlet series approximate simultaneously a wide class of analytic... -
The order bidual of C(X) for a realcompact space
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Marcel de Jeu --- Mathematical Institute, Leiden University, the Netherlands Jan Harm van der Walt --- University of Pretoria, South AfricaIt is well known that the bidual of C(X) for a compact space X, supplied with the Arens product, is isometrically isomorphic as a Banach algebra to for some compact space . The space is unique up to homeomorphism. We... -
New congruences modulo 9 for the coefficients of Gordon-McIntosh's mock theta function ξ(q)
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Olivia X.M. Yao --- Suzhou University of Science and Technology, ChinaIn recent years, congruence properties for the coefficients of mock theta functions have been studied by mathematicians. Recently, Silva and Sellers proved some congruences modulo 3 and 9 for the coefficients of the third order mock theta function ξ(q) given... -
Pointwise multipliers between spaces of analytic functions
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Daniel Girela --- Universidad de Málaga, Spain Noel Merchán --- Universidad de Málaga, SpainA Banach space X of analytic function in , the unit disc in , is said to be admissible if it contains the polynomials and convergence in X implies uniform convergence in compact subsets of . -
Group properties and similarity transformations for generalized peakon equation with cubic nonlinearities
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: P.G.L Leach --- Institute of Systems Science, Durban University of Technology, Republic of South Africa Andronikos Paliathanasis --- Institute of Systems Science, Durban University of Technology, South AfricaWe perform a detailed analysis of the point transformations which leave invariant the Geng-Xue equation. We find that the Geng-Xue equation admits six Lie point symmetries which possess two three-dimensional subalgebras, the A 2,1 ⊗s A 1 and A 3,8... -
On the extension of the Voronin universality theorem for the Riemann zeta-function
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Antanas Laurinčikas --- Institute of Mathematics, Faculty of Mathematics and Informatics, Vilnius University, LithuaniaIn the paper, we prove a general universality theorem for the Riemann zeta-function ζ (s) on approximation of a class of analytic functions by generalized shifts ζ (s + ia(τ)). Here a(τ) is a real-valued continuous increasing to +∞ function,... -
Some new properties of geometrically-convex functions
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Shigeru Furuichi --- Nihon University, Tokyo, Japan Nicuşor Minculete --- University of Braşov, Romania Hamid Reza Moradi --- Islamic Azad University, Iran Mohammad Sababheh --- Princess Sumaya University For Technology, JordanThe class of geometrically convex functions is a rich class that contains some important functions. In this paper, we further explore this class and present many interesting new properties, including fundamental inequalities, supermultiplicative type inequalities, Jensen-Mercer inequality, integral inequalities, and... -
Argument estimates associated with meromorphic close-to-starlike and Bazilević functions
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Nak Eun Cho --- Pukyong National University, Republic of Korea Inhwa Kim --- Harris-Stowe State University, U.S.A H.M. Srivastava --- University of Victoria, CanadaThe object of the present paper is to derive some argument properties associated with meromorphic close-to-starlike and Bazilević functions in the punctured open unit disk. Furthermore, we investigate integral-preserving properties in a sector with some special cases of the main... -
Some measure-theoretic aspects of fractal functions: invariant measures and function spaces
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Megha Pandey --- , India Tanmoy Som --- , India Saurabh Verma --- , IndiaBarnsley (1986) introduced the concept of fractal interpolation functions (FIFs). Thereafter, numerous theories have been developed concerning FIFs and their properties. In this article, we explore some measure theoretic aspects of FIFs generated by the method given by Barnsley. We... -
Third-order Hankel determinants for q-analogue analytic functions defined by a modified q-Bernardi integral operator
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Sarem H. Hadi --- College of education for pure sciences, University of Basrah, Iraq Maslina Darus --- Universiti Kebangsaan Malaysia, Malaysia Rabha W. Ibrahim --- Near East University, Mathematics Research Center, TurkeyIn this paper we define a Bernardi type quantum integral operator. It transforms the starlike univalent in the unit disk into a starlike region in it. We show that the upper-bound of the third-order Hankel determinant for classes of q-starlike... -
Semi-c-periodicity, c-uniform recurrence and almost automorphy in the complex plane
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: H. Ounis --- University of Alicante, Spain J.M. Sepulcre --- University of Alicante, SpainThis paper is devoted to develop the concepts of semi-c-periodicity, c-uniform recurrence and almost automorphy for functions defined on vertical strips in the complex plane, where c is a non-zero complex number. As an extension of the study performed for... -
The approximation property for the predual of weighted spaces of holomorphic mappings on Banach spaces
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Deepika Baweja --- , India Jahir Abbas Sardar --- , IndiaIn this paper, we investigate the approximation property for the predual of the weighted space of holomorphic mappings, where is a countable family of weights defined on a balanced open subset U of a Banach space E. We introduce a... -
Proofs of three conjectured internal congruences modulo 32 for Schur-type overpartitions
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Weifeng Gao --- School of Mathematical Sciences, Suzhou University of Science and Technology, P.R. China Olivia X.M. Yao --- School of Mathematical Sciences, Suzhou University of Science and Technology, P.R. ChinaLet S(n) denote the number of overpartitions of Schur-type. Recently, Chern, da Silva and Sellers proved many congruences modulo 8 and 16 for S(n). At the end of their paper, they also posed a conjecture on internal congruences modulo 32... -
Banaschewski compactifications via special rings of functions in the absence of the Axiom of Choice
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Alireza Olfati --- Yasouj University, Iran Eliza Wajch --- University of Siedlce, PolandFor a topological space is the ring of all continuous real functions f on X such that, for every real number ϵ > 0, there exists a countable clopen cover of X such that the oscillation of f on each... -
Congruences modulo powers of 5 for partitions into odd and distinct parts
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Dazhao Tang --- Chongqing Normal University, P.R. ChinaLet Q 0(n) denote the number of partitions of n into odd and distinct parts. In 1969, Rødseth proved an infinite family of congruences modulo high powers of 5 for Q 0(n) by employing the theory of modular forms. In... -
A systematic review on executive functions in female adolescents with eating disorders: Implications on daily life and relevance to rehabilitation
Item type: Journal Article • Journal: Journal of Child & Adolescent Mental Health • Authors: Hadeel Hamady-Saad --- University of Haifa, Israel Batya Engel-Yeger --- University of Haifa, IsraelBackground: Eating Disorders (ED) are prevalent in female adolescents and have far-reaching effects on daily participation and quality of life (QoL). Daily participation highly depends on Executive Functions (EF). Existing knowledge about EF in ED, as expressed in real life,... -
On SVc -Spaces
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Amir Veisi --- Yasouj University, Iran Zahra Keshtkar --- Yasouj University, IranWe say that a topological space X is an SVc-space if Cc (X) is an SV - ring, that is, is a valuation ring for every prime ideal P of Cc (X). The purpose of this paper is to study... -
Geometric characterizations of some analytic functions related to the generalized Marcum Q-function
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Abdulaziz Alenazi --- College of Science, Northern Border University, Saudi Arabia Khaled Mehrez --- Kairouan Preparatory Institute for Engineering Studies, University of Kairouan, TunisiaThe aim of this paper is to study certain geometric properties, such as convexity of order α (0 ≤ α < 1) and uniform convexity inside the unit disk, for a class of analytic functions related to the generalized Marcum... -
Estimates for the Pre-Schwarzian norm for certain subclasses of analytic functions
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Rashid Ali --- Government College University Faisalabad, Pakistan Mohsan Raza --- Government College University Faisalabad, PakistanFor λ ≥ 1, let be the class of analytic functions f in the open unit disc defined by . Similarly, for the class is defined by . In this article, we present estimates for the pre-Schwarzian norm of functions... -
Congruences modulo powers of 5 for 5 k -regular bipartitions
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Zhuohang Chen --- Chongqing Normal University, P.R. China Dazhao Tang --- Chongqing Normal University, P.R. ChinaLet B ℓ(n) denote the number of ℓ-regular bipartitions of n. In this paper, we investigate congruence properties of B 5k (n) modulo high powers of 5. By deriving the exact generating functions of specific arithmetic progressions in B 5k... -
On quotient rings of pointfree function rings
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Batsile Tlharesakgosi --- University of South Africa, South Africa Sharon Nyokabi Wamugunda --- University of South Africa, South AfricaLet L be a completely regular frame. Associated with each I ∈ βL are two ideals, MI and OI , of the ring of real-valued continuous functions on a frame L. In this paper, we describe the intersection of all... -
On asymptotically almost periodic mild solutions of chemotaxis-fluid systems on bounded domains
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Dam Thi Ngoc Van --- Division of Mathematics, Banking Academy of Vietnam, Vietnam Tran Minh Nguyet --- Department of Mathematics, Thang Long University, Vietnam Pham Truong Xuan --- Thang Long University, VietnamWe study the well-posedness and exponential stability of almost periodic (AP-) and asymptotically almost periodic (AAP-) mild solutions for the chemotaxis-Navier-Stokes systems on a bounded domain Ω ⊂ ℝd (d ⩾ 2) with the smooth boundary. Our strategy is: we...