- Hacettepe Journal of Mathematics and Statistics
- Vol: 50 Issue: 5
- The Hermite-Hadamard inequalities for $p$-convex functions
The Hermite-Hadamard inequalities for $p$-convex functions
Authors : Zeynep Eken, Serap Kemali, Gültekin Tinaztepe, Gabil Adilov
Pages : 1268-1279
Doi:10.15672/hujms.775508
View : 12 | Download : 5
Publication Date : 2021-10-15
Article Type : Research
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