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Inequalities for Fractional Integrals of a Generalized Class of Strongly Convex Functions

Authors :
Tao Yan
Ghulam Farid
Hafsa Yasmeen
Soo Hak Shim
Chahn Yong Jung
Source :
Fractal and Fractional, Vol 6, Iss 3, p 168 (2022)
Publication Year :
2022
Publisher :
MDPI AG, 2022.

Abstract

Fractional integral operators are useful tools for generalizing classical integral inequalities. Convex functions play very important role in the theory of mathematical inequalities. This paper aims to investigate the Hadamard type inequalities for a generalized class of functions namely strongly (α,h−m)-p-convex functions by using Riemann–Liouville fractional integrals. The results established in this paper give refinements of various well-known inequalities which have been published in the recent past.

Details

Language :
English
ISSN :
25043110
Volume :
6
Issue :
3
Database :
Directory of Open Access Journals
Journal :
Fractal and Fractional
Publication Type :
Academic Journal
Accession number :
edsdoj.f5852f0507445528b603c07de0ca230
Document Type :
article
Full Text :
https://doi.org/10.3390/fractalfract6030168