Research Article

On the injectivity with respect to q of the Lupaş q-transform

Published in: Quaestiones Mathematicae
Volume 47 , issue 3 , 2024 , pages: 477–487

DOI: 10.2989/16073606.2023.2229556

Author(s): Övgü Gürel Yılmaz Recep Tayyip Erdogan University, Turkey , Sofiya Ostrovska Atilim University, Turkey , Mehmet Turan Atilim University, Turkey

Keywords: Primary: 47B38 , Secondary:30A99 , 26C15 , Lupaş q-analogue of the Bernstein operators , Lupaş q-transform , analytic function , q-periodicity

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Abstract

The Lupaş q-transform has first appeared in the study of the Lupaş q-analogue of the Bernstein operator. Given 0 < q < 1 and f ∈ C [0, 1], the Lupaş q-transform is defined by

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