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

Document Type : Research Paper

Authors

1 Department of mathematics, University of Jos, Jos, Nigeria.

2 Department of Mathematics, Faculty of Sciences. University of Lagos, Nigeria.

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.

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References

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Journal of Mahani Mathematical Research
Volume 14, Issue 1 - Serial Number 31
January 2025
Pages 473-489

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History

  • Receive Date: 15 June 2024
  • Revise Date: 05 November 2024
  • Accept Date: 22 November 2024

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