The Hermite-Hadamard inequalities for $p$-convex functions

Year 2021, Volume: 50 Issue: 5, 1268 - 1279, 15.10.2021

Zeynep Eken , Serap Kemali , Gültekin Tınaztepe , Gabil Adilov

https://doi.org/10.15672/hujms.775508

Cited By: 7

Abstract

In this paper, the Hermite-Hadamard inequality for $p-$convex function is provided. Some integral inequalities for them are also presented. Also, based on the integral and double integral of $p-$convex sets, the new functions are defined and under certain conditions, $p-$convexity of these functions are shown. Some inequalities for these functions are expressed.

Keywords

Hermite-Hadamard Inequality, Convex set, Convex functions, p-Convex functions

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