On (α,β)-Convex Functions

Authors : Muhamet Emin ÖZDEMİR, Alper EKİNCİ

Pages : 9-14

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Publication Date : 2020-12-16

Article Type : Research Paper

Abstract :In this paper, we introduce a new class called insert ignore into journalissuearticles values(α,β );-convex of Fαβ and give some basic properties for this class like positivity and insert ignore into journalissuearticles values(α,β ); convexity of compound function. insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(α,β);-convex functions including a third mapping Ff which defined with double integral.
Keywords : convex functions, Hadamard Inequality, s convex functions