ON P\'{O}LYA AND STEFFENSEN INTEGRAL INEQUALITIES FOR TRIGONOMETRICALLY $\rho$-CONVEX FUNCTIOns

Abstract

The aim of this article is to derive several Pólya and Steffensen type integral inequalities for trigonometrically ρ-convex functions.

One Class of Generalized Convex Functions in the Sense of Beckenbach

“…The sub F -functions possess numerous characteristics analogous to those of ordinary convex functions (see [1], [5], [6], [8], [10], [11], [21]). For example, let f : I → R be a sub F -function, then for every x 1 , x 2 ∈ I, the inequality…”