New Ostrowski type inequalities for generalized s-convex functions with applications to some special means of real numbers and to midpoint formula

Abstract

In this paper we establish new Ostrowski type inequalities related to the notion s-$ \varphi $-convex functions (see [37]), were $ f\in C^n([a, b]) $ with $ f^{(n)}\in L([a, b]) $ and we give some applications to some special means, the midpoint formula and some examples for the case $ n = 2 $.

Keywords

• φ-convex function
• s-convex function
• s-φ-convex function
• s-φb-convex function
• ostrowski inequality