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.

Авторы
Rajković P.1 , Stanković M.2 , Marinković S.3 , Kirane M. 4, 5, 6
Журнал
Electronic Journal of Differential Equations
Язык
Английский
Страницы
1-11
Статус
Опубликовано
Ссылка
Внешняя ссылка
Том
2018
Год
2018
Организации
  • 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
Ключевые слова
Integral inequality; Nonnegativity; Q-integral
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