On new Simpson’s type ınequalities 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 of a trigonometrically convex function. Using the Hölder, Hölder-İşcan integral inequality and the power-mean, improved power-mean integral inequalities, and together with an integral identity, some new Simpson-type inequalities have been obtained for trigonometric convex functions. We also give some applications for special means.
Keywords
Convex function, trigonometrically convex function, Simpson type inequality, Hölder inequality, Power mean inequality.
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