On q-steffensen inequality

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. © 2018 Texas State University.

Authors
Rajković P.1 , Stanković M.2 , Marinković S.3 , Kirane M. 4, 5, 6
Journal
Electronic Journal of Differential Equations
Language
English
Pages
1-11
Status
Published
Link
External link
Volume
2018
Year
2018
Organizations
  • 1 Department of Mathematics and Informatics, Faculty of Mechanical Engineering, University of Niš, Niš, 18000
  • 2 Department of Mathematics, Faculty of Occupation Safety, University of Niš, Niš, 18000
  • 3 Department of Mathematics, Faculty of Electronic Engineering, University of Niš, Niš, 18000
  • 4 LaSIE, Faculté des Sciences et Technologies, Université de La Rochelle, Avenue M. Crépeau, La Rochelle, 17042, France
  • 5 NAAM Research Group, Department of Mathematics, Faculty of Science King Abdu-laziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia
  • 6 RUDN University, 6 Miklukho-Maklay St, Moscow, 117198, Russian Federation
Keywords
Integral inequality; Nonnegativity; Q-integral
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/7131/
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