Weaker Conditions for the q -Steffensen Inequality and Some Related Generalizations

Ksenija Smoljak Kalamir
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Ksenija Smoljak Kalamir: Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovića 28a, 10000 Zagreb, Croatia

Mathematics, 2020, vol. 8, issue 9, 1-11

Abstract: The aim of this paper is to study the q -Steffensen inequality and to prove some weaker conditions for this inequality in quantum calculus. Further, we prove q -analogues of some frequently used generalizations of Steffensen’s inequality and obtain some refinements of q -Steffensen’s inequality and its generalizations.

Keywords: Steffensen’s inequality; q -integral; weaker conditions; generalizations; refinements (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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