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
We present three q-Taylor formulas with q-integral remainder. The two last proofs require a slight r...
This article aims to investigate unified versions of the well-known Hermite–Hadamard inequality by c...
Several new q-integral inequalities are presented. Some of them are new, One concerning double integ...
In this article, we study an analogue of the classical integral in-equality established by Steffense...
In this article, we study an analogue of the classical integral inequality established by Steffense...
AbstractIn this paper, q-calculus analogues of some classical and some recent integral inequalities ...
Abstract In this article we give q-analogs of the Opial inequality for q-decreasing functions. Using...
In this study, we obtained two kinds of Wirtinger type q-inequalities on quantum calculus. Then, we ...
The objective of this paper is to establish q-analogue of some well-known inequalities in analysis, ...
In recent years fractional q-integral inequalities have been investigated by many authors. Therefore...
In this paper, we study the q-analogue of Klamkin-McLenaghan's and Grueb-Reinboldt's inequalities th...
Extensions and new inequalities concerning Steffensen's inequality are presented
AbstractThe purpose of this note is to establish the following generalization of Steffensen's inequa...
AbstractUsing the restriction of the q-integral over [a,b] to a finite sum and q-integral of Riemann...
The aim of this paper is to establish q-extension of the Grüss type integral inequality related to t...
We present three q-Taylor formulas with q-integral remainder. The two last proofs require a slight r...
This article aims to investigate unified versions of the well-known Hermite–Hadamard inequality by c...
Several new q-integral inequalities are presented. Some of them are new, One concerning double integ...
In this article, we study an analogue of the classical integral in-equality established by Steffense...
In this article, we study an analogue of the classical integral inequality established by Steffense...
AbstractIn this paper, q-calculus analogues of some classical and some recent integral inequalities ...
Abstract In this article we give q-analogs of the Opial inequality for q-decreasing functions. Using...
In this study, we obtained two kinds of Wirtinger type q-inequalities on quantum calculus. Then, we ...
The objective of this paper is to establish q-analogue of some well-known inequalities in analysis, ...
In recent years fractional q-integral inequalities have been investigated by many authors. Therefore...
In this paper, we study the q-analogue of Klamkin-McLenaghan's and Grueb-Reinboldt's inequalities th...
Extensions and new inequalities concerning Steffensen's inequality are presented
AbstractThe purpose of this note is to establish the following generalization of Steffensen's inequa...
AbstractUsing the restriction of the q-integral over [a,b] to a finite sum and q-integral of Riemann...
The aim of this paper is to establish q-extension of the Grüss type integral inequality related to t...
We present three q-Taylor formulas with q-integral remainder. The two last proofs require a slight r...
This article aims to investigate unified versions of the well-known Hermite–Hadamard inequality by c...
Several new q-integral inequalities are presented. Some of them are new, One concerning double integ...