New integral inequalities involving m—convex functions in (p,q)—calculus

Artion Kashuri; Muhammad Raees; Matloob Anwar

doi:10.32513/tmj/19322008140

Abstract

In this paper, we establish some new Hermite-Hadamard integral inequalities for $m$ -convex functions via $(p, q)$ -calculus. Also, some known results are recaptured as special cases from our results. At the end, a briefly conclusion is given.

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Artion Kashuri. Muhammad Raees. Matloob Anwar. "New integral inequalities involving $m$ —convex functions in $(p, q)$ —calculus." Tbilisi Math. J. 14 (3) 19 - 40, August 2021. https://doi.org/10.32513/tmj/19322008140

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Received: 16 February 2021; Accepted: 2 March 2021; Published: August 2021

First available in Project Euclid: 3 September 2021

MathSciNet: MR4307896

zbMATH: 1496.26005

Digital Object Identifier: 10.32513/tmj/19322008140

Subjects:

Primary: 26A51‎

Secondary: 26A33 , 26B25 , 26D07 , 26D10 , 26D15

Keywords: (p,q)-derivatives , (p,q)-integrals , Hermite-Hadamard inequality , Hölder’s inequality , m-convexity , power mean inequality

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