Open AccessFractional version of the Jensen-Mercer and Hermite-Jensen-Mercer type inequalities for strongly h-convex function
Author(s) -
Fai Ma
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.2022047
Subject(s) - mathematics , convex function , jensen's inequality , type (biology) , hermite polynomials , function (biology) , hadamard transform , regular polygon , pure mathematics , fractional calculus , mathematical analysis , convex analysis , convex optimization , geometry , ecology , evolutionary biology , biology
In this paper we find further versions of generalized Hadamard type fractional integral inequality for $ k $-fractional integrals. For this purpose we utilize the definition of $ h $-convex function. The presented results hold simultaneously for variant types of convexities and fractional integrals.