New inequalities of hermite-hadamard type for functions whose second derivatives absolute values are exponential trigonometric convex

Abstract

In this paper, a new class of convex functions, which is called exponential trigonometric convex functions is studied. We obtain some refinements of the Hermite-Hadamard type inequalities via functions whose second derivatives in absolute value at certain power are exponential trigonometric convex functions. The results of the research by the means of Hölder-İşcan and improved-power-mean integral inequalities.