Open AccessRiemann-Liouville Fractional integral operators with respect to increasing functions and strongly $ (\alpha, m) $-convex functions
Author(s) -
Ghulam Farid,
Hafsa Yasmeen,
Hijaz Ahmad,
Chahn Yong Jung
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2021661
Subject(s) - mathematics , convex function , hadamard transform , pure mathematics , type (biology) , regular polygon , fractional calculus , mathematical analysis , ecology , geometry , biology
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.