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Hermite-Hadamard type inequalities for p-convex functions via fractional integrals Cover

Hermite-Hadamard type inequalities for p-convex functions via fractional integrals

By: Mehmet Kunt and  İmdat İşcan  
Open Access
|Aug 2017

Abstract

In this paper, we present Hermite-Hadamard inequality for p-convex functions in fractional integral forms. we obtain an integral equality and some Hermite-Hadamard type integral inequalities for p-convex functions in fractional integral forms. We give some Hermite-Hadamard type inequalities for convex, harmonically convex and p-convex functions. Some results presented in this paper for p-convex functions, provide extensions of others given in earlier works for convex, harmonically convex and p-convex functions.

Language: English
Page range: 22 - 34
Submitted on: May 5, 2016
Accepted on: Oct 10, 2016
Published on: Aug 1, 2017
Published by: Sciendo
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2017 Mehmet Kunt, İmdat İşcan, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.