Improvements on some inequalities of Hermite Hadamard inequalities for functions when a power of the absolute value of the second derivative h and P-convex

Abstract

In this paper, firstly we obtain some improvements of Hermite-Hadamard integral inequalities via h and P-convex by using Hölder-İşcan inequality. Secondly new results are established. Thirdly, we determine some new inequalities for functions when a power of the absolute value of second derivatives are h and P-convex. Finally they are compared with the old ones.