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Research Article | Open Access

Hermite-Hadamard inequality involving Caputo-Fabrizio fractional integrals and related inequalities via s-convex functions in the second sense

Anjum Mustafa Khan Abbasi( ), Matloob Anwar
School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan
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Abstract

In this paper, firstly, Hermite-Hadamard inequality via s-convex functions in the second sense using Caputo-Fabrizio fractional integral operator is established. We also compare our results with the existing ones. It is also shown that the obtained results are a generalization of the existing results. Finally, we give their applications to special means.

Keywords

Hermite-Hadamard inequalitys-convex functionsCaputo-Fabrizio fractional integral
CLC number: 05C38, 15A15, 26A33, 26D10, 26D15

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AIMS Mathematics
Volume 7 Issue 10,
October 2022
Pages 18565-18575
DOI: 10.3934/math.20221020

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Abbasi AMK, Anwar M. Hermite-Hadamard inequality involving Caputo-Fabrizio fractional integrals and related inequalities via s-convex functions in the second sense. AIMS Mathematics, 2022, 7(10): 18565-18575. https://doi.org/10.3934/math.20221020

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Received: 08 May 2022
Revised: 09 July 2022
Accepted: 15 July 2022
Published: 15 October 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)