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Research Article | Open Access

Inequalities for unified integral operators of generalized refined convex functions

Moquddsa Zahra1, Muhammad Ashraf1, Ghulam Farid2, Kamsing Nonlaopon3( )
Department of Mathematics, University of Wah, Wah Cantt, Pakistan
Department of Mathematics, COMSATS University Islamabad, Attock Campus, Pakistan
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
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Abstract

In this article, the bounds of unified integral operators are studied by using a new notion called refined ( α , h − m ) − p-convex function. The upper and lower bounds in the form of Hadamard inequality are established. From the results of this paper, refinements of well-known inequalities can be obtained by imposing additional conditions.

Keywords

refined (α, h − m)-convex functionintegral operatorsfractional integralsunified integral operatorsbounds
CLC number: 26D10, 31A10, 26A33

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AIMS Mathematics
Volume 7 Issue 4,
April 2022
Pages 6218-6233
DOI: 10.3934/math.2022346

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Cite this article:
Zahra M, Ashraf M, Farid G, et al. Inequalities for unified integral operators of generalized refined convex functions. AIMS Mathematics, 2022, 7(4): 6218-6233. https://doi.org/10.3934/math.2022346

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Received: 05 September 2021
Revised: 20 December 2021
Accepted: 26 December 2021
Published: 15 April 2022
©2022 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)