Muhamet Emin ÖZDEMİR, Alper EKİNCİ

7777

On (α,β)-Convex Functions

On (α,β)-Convex Functions

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.
Keywords:

convex functions Hadamard Inequality, s-convex functions,

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Eastern Anatolian Journal of Science-Cover
  • ISSN: 2149-6137
  • Yayın Aralığı: Yılda 2 Sayı
  • Başlangıç: 2015
  • Yayıncı: Ağrı İbrahim Çeçen Üniversitesi
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On (α,β)-Convex Functions

Muhamet Emin ÖZDEMİR, Alper EKİNCİ