Hermite-Hadamard type inequalities for generalized convex functions on fractal sets style

Muharrem Tomar; Praveen Agarwal; Junesang Choi

doi:10.5269/bspm.v38i1.32820

Hermite-Hadamard type inequalities for generalized convex functions on fractal sets style

Muharrem Tomar Ordu University Faculty of Arts and Sciences Department of Mathematics
Praveen Agarwal Anand International College of Engineering Department of Mathematics
Junesang Choi Dongguk University Department of Mathematics

DOI: https://doi.org/10.5269/bspm.v38i1.32820

Keywords: Fractal sets, Generalized convex functions, Generalized Hermite--Hadamard inequality, Generalized Holder inequality

Abstract

We aim to establish certain generalized Hermite-Hadamard's inequalities for generalized convex functions via local fractional integral. As special cases of some of the results presented here, certain interesting inequalities involving generalized arithmetic and logarithmic means are obtained.