Research Article

Some sharpened and refined versions of the q—Steffensen inequality

Published in: Quaestiones Mathematicae
Volume 46 , issue 6 , 2023 , pages: 1221–1235

DOI: 10.2989/16073606.2022.2072248

Author(s): Ksenija Smoljak Kalamir University of Zagreb, Croatia

Keywords: Primary: 33D60 , Secondary: 26D15 , Steffensen’s inequality , q–integral , weaker conditions , q–increasing function

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Abstract

Based on a known sharpened and refined versions of a classical Steffensen inequality, we derive new sharpened and refined versions of a q–Steffensen inequality. Next, we give weaker conditions for some already known generalizations of q–Steffensen’s inequality and for new refinements obtained in this paper.

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