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Research Article | Open Access

Strongly convex functions and extensions of related inequalities with applications to entropy

Yamin Sayyari1( ), Mana Donganont2( ), Mehdi Dehghanian1( ), Morteza Afshar Jahanshahi1
Department of Mathematics, Sirjan University of Technology, Sirjan, Iran
School of Science, University of Phayao, Phayao 56000, Thailand
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Abstract

We extended the Mercer inequlaity, Fejér-Hermite-Hadamard, and Jensen inequalities for strongly convex functions. Moreover, we obtained several results in information theory and mathematical analysis using obtained inequalities.

Keywords

Jensens inequalityentropystrongly convexMercer inequality
CLC number: 26B25, 26D20

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AIMS Mathematics
Volume 9 Issue 5,
May 2024
Pages 10997-11006
DOI: 10.3934/math.2024538

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Cite this article:
Sayyari Y, Donganont M, Dehghanian M, et al. Strongly convex functions and extensions of related inequalities with applications to entropy. AIMS Mathematics, 2024, 9(5): 10997-11006. https://doi.org/10.3934/math.2024538

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Received: 09 January 2024
Revised: 11 March 2024
Accepted: 13 March 2024
Published: 15 May 2024
©2024 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)