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

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.

Steffensen’s inequality ; q-integral ; weaker conditions ; generalizations ; refinements

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