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Research Article | Open Access

Extended Hermite–Hadamard inequalities

Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, Tamilnadu, India
Department of Mathematics, Faculty of Sciences and Technology, BP 34. Ajdir 32003 Al-Hoceima, Abdelmalek Essaadi University, Tetouan, Morocco
Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi Arabia
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Abstract

In this manuscript, we formulated Hermite–Hadamard inequalities for convex functions by employing cotangent integrals. Additionally, we extended these Hermite–Hadamard inequalities to encompass cotangent integrals and give the application.

Keywords

fractional derivativescotangent integral operatorsconfluent hypergeometric functionHermite–Hadamard inequalitiesoptimization
CLC number: 26A33, 46N10, 46N20

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AIMS Mathematics
Volume 9 Issue 12,
December 2024
Pages 36031-36046
DOI: 10.3934/math.20241709

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Cite this article:
Sadek L, Algefary A. Extended Hermite–Hadamard inequalities. AIMS Mathematics, 2024, 9(12): 36031-36046. https://doi.org/10.3934/math.20241709

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Received: 17 November 2024
Revised: 17 December 2024
Accepted: 19 December 2024
Published: 15 December 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)