On new Simpson’s type inequalities for trigonometrically convex functions with applications

Abstract

The aim of this article is to define a special case of h- convex function, namely the notion ofa trigonometrically convex function. Using the Hölder, Hölder-İşcan integral inequality andthe power-mean, improved power-mean integral inequalities, and together with an integralidentity, some new Simpson-type inequalities have been obtained for trigonometric convexfunctions. We also give some applications for special means.