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Research Article | Open Access

Fejér type inequalities for harmonically convex functions

Department of Basic Sciences, Deanship of Preparatory Year, King Faisal University, Hofuf 31982, Al-Hasa, Saudi Arabia
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Abstract

In this study, some mappings related to the Fejér-type inequalities for harmonically convex functions are defined over [ 0 , 1 ] . Some Fejér-type inequalities for harmonically convex functions are proved using these mappings. Properties of these mappings are considered and consequently, refinements are obtained of some known results.

Keywords

Hermite-Hadamard inequalityconvex functionharmonic convex functionFejér inequality
CLC number: 26D15, 26D20, 26D07

References

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AIMS Mathematics
Volume 7 Issue 8,
August 2022
Pages 15234-15257
DOI: 10.3934/math.2022835

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Cite this article:
Latif MA. Fejér type inequalities for harmonically convex functions. AIMS Mathematics, 2022, 7(8): 15234-15257. https://doi.org/10.3934/math.2022835

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Received: 07 April 2022
Revised: 08 June 2022
Accepted: 09 June 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)