@article{article_775508, title={The Hermite-Hadamard inequalities for $p$-convex functions}, journal={Hacettepe Journal of Mathematics and Statistics}, volume={50}, pages={1268–1279}, year={2021}, DOI={10.15672/hujms.775508}, author={Eken, Zeynep and Kemali, Serap and Tınaztepe, Gültekin and Adilov, Gabil}, keywords={Hermite-Hadamard Inequality, Convex set, Convex functions, p-Convex functions}, 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.}, number={5}, publisher={Hacettepe University}