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Inequalities for Fractional Integrals of a Generalized Class of Strongly Convex Functionsopen access

Authors
Yan, TaoFarid, GhulamYasmeen, HafsaShim, Soo HakJung, Chahn Yong
Issue Date
Mar-2022
Publisher
MDPI
Keywords
Riemann-Liouville integrals; Hadamard inequality; strongly convex function; convex; function
Citation
Fractal and Fractional, v.6, no.3
Indexed
SCIE
SCOPUS
Journal Title
Fractal and Fractional
Volume
6
Number
3
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/71561
DOI
10.3390/fractalfract6030168
ISSN
2504-3110
2504-3110
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 (alpha, 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.
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