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

Auteurs-es

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

Mots-clés :

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

Résumé

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.