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

Authors :
Yan, Tao
Farid, Ghulam
Yasmeen, Hafsa
Shim, Soo Hak
Jung, Chahn Yong
Source :
Fractal & Fractional. Mar2022, Vol. 6 Issue 3, p168-168. 17p.
Publication Year :
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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
25043110
Volume :
6
Issue :
3
Database :
Academic Search Index
Journal :
Fractal & Fractional
Publication Type :
Academic Journal
Accession number :
156002004
Full Text :
https://doi.org/10.3390/fractalfract6030168