On q-steffensen inequality

Abstract

© 2018 Texas State University. In this article, we study an analogue of the classical integral in-equality established by Steffensen in q-calculus. The difficulties ensued form differences between the classical and q-integral. We exceed them in two directions: firstly, by restricting the area of parameter q, and another by modifying the expression of the original inequality. We establish the conditions which guarantee their holding on. Finally, we illustrate our considerations by the examples.