Hermite-Hadamard inequalities for exponential type harmonically $ ( \alpha, s)_{h}$-convex functions

In this paper, the authors study and introduce some new integral forms of Hermite-Hadamard inequalities in the form of harmonically convex functions known as exponential type harmonically $ (\alpha, s)_{h}$-convex function. Additionally, several special characteristics of this class of functions are examined. More precisely, the authors provide some properties and characteristics related to the Hermite-Hdamard inequality for harmonically $ (\alpha, s)_{h}$-convex function, applications of this work with certain examples are made to establish results obtained.

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Publication Details

Journal
SHILAP Revista de lepidopterología
Published
2025-01-01
DOI
https://doi.org/10.22103/jmmr.2024.23617.1668
Primary Topic
Mathematical Inequalities and Applications
Type
article
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article

Hermite-Hadamard inequalities for exponential type harmonically $ ( \alpha, s)_{h}$-convex functions

SHILAP Revista de lepidopterología
Mathematical Inequalities and Applications
article

Hermite-Hadamard inequalities for exponential type harmonically $ ( \alpha, s)_{h}$-convex functions

article en

Abstract

In this paper, the authors study and introduce some new integral forms of Hermite-Hadamard inequalities in the form of harmonically convex functions known as exponential type harmonically $ (\alpha, s)_{h}$-convex function. Additionally, several special characteristics of this class of functions are examined. More precisely, the authors provide some properties and characteristics related to the Hermite-Hdamard inequality for harmonically $ (\alpha, s)_{h}$-convex function, applications of this work with certain examples are made to establish results obtained.

SHILAP Revista de lepidopterología
University of Jos (NG), University of Lagos (NG)
Reduced inequalities
Openalex Percentile: Top 41%
Mathematical Inequalities and Applications
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