Weighted Hermite-Hadamard inequalities for <i>r</i>-times differentiable preinvex functions for <i>k</i>-fractional integrals-Reference-Cited by-同舟云学术

Weighted Hermite-Hadamard inequalities for r-times differentiable preinvex functions for k-fractional integrals

Published:2023-01-01 Issue:1 Volume:56 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Zafar Fiza¹,Mehmood Sikander²,Asiri Asim³

Affiliation:

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

2. Govt. Graduate College Sahiwal , Sahiwal , Pakistan

3. Department of Mathematics, King Abdulaziz University , Jeddah 21589 , Saudi Arabia

Abstract

Abstract In this article, we have established some new bounds of Fejér-type Hermite-Hadamard inequality for

-fractional integrals involving

-times differentiable preinvex functions. It is noteworthy that in the past, there was no weighted version of the left and right sides of the Hermite-Hadamard inequality for

-fractional integrals for generalized convex functions available in the literature.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2022-0254/pdf

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