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Research Article | Open Access

Fractional version of the Jensen-Mercer and Hermite-Jensen-Mercer type inequalities for strongly h-convex function

Department of Foundational Course, Shandong University of Science and Technology, Taian 271019 China
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Abstract

In this paper we find further versions of generalized Hadamard type fractional integral inequality for k-fractional integrals. For this purpose we utilize the definition of h-convex function. The presented results hold simultaneously for variant types of convexities and fractional integrals.

Keywords

convex functionHermite-Hadamard inequalityJensen-Mercer inequalityfractional integrals
CLC number: 35A23, 26E70, 34N05

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AIMS Mathematics
Volume 7 Issue 1,
January 2022
Pages 784-803
DOI: 10.3934/math.2022047

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Cite this article:
Ma F. Fractional version of the Jensen-Mercer and Hermite-Jensen-Mercer type inequalities for strongly h-convex function. AIMS Mathematics, 2022, 7(1): 784-803. https://doi.org/10.3934/math.2022047

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Received: 13 July 2021
Accepted: 27 September 2021
Published: 15 January 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)