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Research Article | Open Access

On inequalities of Hermite-Hadamard type via n-polynomial exponential type s-convex functions

Muhammad Samraiz1, Kanwal Saeed1, Saima Naheed1, Gauhar Rahman2, Kamsing Nonlaopon3( )
Department of Mathematics, University of Sargodha, Sargodha, Pakistan
Department of Mathematics and Statistics Hazara University Mansehra, Pakistan
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
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Abstract

In this paper, a new class of Hermite-Hadamard type integral inequalities using a strong type of convexity, known as n-polynomial exponential type s-convex function, is studied. This class is established by utilizing the Hölder's inequality, which has several applications in optimization theory. Some existing results of the literature are obtained from newly explored consequences. Finally, some novel limits for specific means of positive real numbers are shown as applications.

Keywords

Hermite-Hadamard's type inequalitiesn-polynomial exponential convex functionss-convex functionspecial meansHölder's inequality
CLC number: 26D15, 26D10, 26A33, 34B27

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AIMS Mathematics
Volume 7 Issue 8,
August 2022
Pages 14282-14298
DOI: 10.3934/math.2022787

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Cite this article:
Samraiz M, Saeed K, Naheed S, et al. On inequalities of Hermite-Hadamard type via n-polynomial exponential type s-convex functions. AIMS Mathematics, 2022, 7(8): 14282-14298. https://doi.org/10.3934/math.2022787

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Received: 18 February 2022
Revised: 30 April 2022
Accepted: 12 May 2022
Published: 15 August 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)