On (α,β)-Convex Functions

Abstract

In this paper, we introduce a new class called (α,β)-convex of Fαβ and give some basic properties for this class like positivity and (α,β) convexity of compound function. (α,β)-convex functions are more general form of s-convex and ordinary convex functions. After basic and useful properties of this class we give Hermite-Hadamard inequality for this class then we give inequalities involving mappings H and F. Also we give an ineqauality for (α,β)-convex functions including a third mapping Ff which defined with double integral.