On q-Steffensen inequality

Date

2018-05-10

Authors

Rajkovic, Predrag
Stankovic, Miomir
Marinkovic, Sladjana
Kirane, Mokhtar

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Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article, we study an analogue of the classical integral inequality 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.

Description

Keywords

q-integral, Nonnegativity, Integral inequality

Citation

Rajković, P. M., Stanković, M. S., Marinković, S. D., & Kirane, M. (2018). On q-Steffensen inequality. <i>Electronic Journal of Differential Equations, 2018</i>(112), pp. 1-11.

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Attribution 4.0 International

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