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Research Article | Open Access

Integral inequalities of Hermite-Hadamard type via q − h integrals

Dong Chen1,2, Matloob Anwar3( ), Ghulam Farid4( ), Waseela Bibi4
School of Electronic Information and Electrical Engineering, Chengdu University, Chengdu, China
Key Laboratory of Pattern Recognition and Intelligent Information Processing of Sichuan, Chengdu University, Chengdu, China
School of Natural Sciences, NUST, Islamabad, Pakistan
Department of Mathematics, COMSATS Islamabad, Attock Campus, Pakistan
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Abstract

The well-known Hermite-Hadamard inequality for convex functions is extensively studied for different kinds of integrals and derivatives. This paper investigates some of its variants for q − h-integrals using properties of convex functions. Inequalities for q-integrals that have been published in recent years can be extracted from the main results of this paper.

Keywords

Hermite-Hadamard inequalityconvex functionq-h-integralq-h-derivativeq-integral
CLC number: 26A33, 26A51, 33E12

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AIMS Mathematics
Volume 8 Issue 7,
July 2023
Pages 16165-16174
DOI: 10.3934/math.2023826

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Cite this article:
Chen D, Anwar M, Farid G, et al. Integral inequalities of Hermite-Hadamard type via q − h integrals. AIMS Mathematics, 2023, 8(7): 16165-16174. https://doi.org/10.3934/math.2023826

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Received: 29 January 2023
Revised: 26 March 2023
Accepted: 09 April 2023
Published: 15 July 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)