Hermite-Hadamard-Fejér Inequalities for Preinvex Functions on Fractal Sets

Mehmood, Sikander; Zafar, Fiza

doi:10.22130/scma.2022.559225.1156

Document Type : Research Paper

Authors

Sikander Mehmood ¹
Fiza Zafar ²

¹ Department of Mathematics, Govt. Graduate College Sahiwal, Pakistan.

² Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan.

https://doi.org/10.22130/scma.2022.559225.1156

Abstract

In this paper, for generalised preinvex functions, new estimates of the Fej'{e}r-Hermite-Hadamard inequality on fractional sets $\mathbb{R}^{\rho }$ are given in this study. We demonstrated a fractional integral inequalities based on Fej'{e}r-Hermite-Hadamard theory. We establish two new local fractional integral identities for differentiable functions. We construct several novel Fej'{e}r-Hermite-Hadamard-type inequalities for generalized convex function in local fractional calculus
contexts using these integral identities. We provide a few illustrations to highlight the uses of the obtained findings. Furthermore, we have also given a few examples of new inequalities in use.

Keywords

20.1001.1.23225807.2023.20.4.8.6

Main Subjects

Functional Analysis and Operator Theory

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Sahand Communications in Mathematical Analysis

Hermite-Hadamard-Fejér Inequalities for Preinvex Functions on Fractal Sets

References

References

Volume 20, Issue 4
September 2023
Pages 117-137

Hermite-Hadamard-Fejér Inequalities for Preinvex Functions on Fractal Sets

References

References

Volume 20, Issue 4September 2023Pages 117-137

Volume 20, Issue 4
September 2023
Pages 117-137