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

Authors : Zeynep EKEN, Serap KEMALİ, Gültekin TINAZTEPE, Gabil ADİLOV

Pages : 1268-1279

Doi:10.15672/hujms.775508

View : 27 | Download : 11

Publication Date : 2021-10-15

Article Type : Research Paper

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