Extensions of Hermite–Hadamard inequalities for harmonically convex functions via generalized fractional integrals-Reference-Cited by-同舟云学术

Extensions of Hermite–Hadamard inequalities for harmonically convex functions via generalized fractional integrals

Published:2021-06-07 Issue:1 Volume:2021 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

You Xue-Xiao,Ali Muhammad Aamir,Budak Hüseyin,Agarwal Praveen,Chu Yu-Ming^ORCID

Abstract

AbstractIn the paper, the authors establish some new Hermite–Hadamard type inequalities for harmonically convex functions via generalized fractional integrals. Moreover, the authors prove extensions of the Hermite–Hadamard inequality for harmonically convex functions via generalized fractional integrals without using the harmonic convexity property for the functions. The results offered here are the refinements of the existing results for harmonically convex functions.

Funder

National Natural Science Foundation of China

Philosophy and Social Sciences of Educational Commission of Hubei Province, China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13660-021-02638-3.pdf

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