@article{article_881979, title={Hermite-Hadamard Type Inequalities for the Functions Whose Absolute Values of First Derivatives are $p$-Convex}, journal={Fundamental Journal of Mathematics and Applications}, volume={4}, pages={88–99}, year={2021}, DOI={10.33401/fujma.881979}, author={Sezer, Sevda}, keywords={Hermite-Hadamard inequality, $p$-convex function, Convexity}, abstract={<div style="text-align:justify;"> <span style="font-size:14px;">In this paper, we extend some estimates of a Hermite-Hadamard type inequality for functions whose absolute values of the first derivatives are $p$-convex. By means of the obtained inequalities, some bound functions involving beta functions and hypergeometric functions are derived as applications. Also, we suggest an upper bound for error in numerical integration of $p$-convex functions via composite trapezoid rule. </span> </div>}, number={2}, publisher={Fuat USTA}