Riemann-Liouville Fractional integral operators with respect to increasing functions and strongly $ (\alpha, m) $-convex functions

In this paper Hadamard type inequalities for strongly $ (\alpha, m) $-convex functions via generalized Riemann-Liouville fractional integrals are studied. These inequalities provide generalizations as well as refinements of several well known inequalities. The established results are further connect...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 10; pp. 11403 - 11424
Main Authors Farid, Ghulam, Yasmeen, Hafsa, Ahmad, Hijaz, Jung, Chahn Yong
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
hadamard inequality
m)-convex function
riemann-liouville fractional integrals
strongly (α
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Summary:In this paper Hadamard type inequalities for strongly $ (\alpha, m) $-convex functions via generalized Riemann-Liouville fractional integrals are studied. These inequalities provide generalizations as well as refinements of several well known inequalities. The established results are further connected with fractional integral inequalities for Riemann-Liouville fractional integrals of convex, strongly convex and strongly $ m $-convex functions. By using two fractional integral identities some more Hadamard type inequalities are proved.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021661