Hadamard type inequalities for m-convex and (α, m)-convex functions

Bakula M. K., ÖZDEMİR M. E., Pečarić J.

Journal of Inequalities in Pure and Applied Mathematics, vol.9, no.4, 2008 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 9 Issue: 4
  • Publication Date: 2008
  • Journal Name: Journal of Inequalities in Pure and Applied Mathematics
  • Journal Indexes: Scopus
  • Keywords: (α, m)-convex functions, Hadamard's inequalities, M-convex functions
  • Bursa Uludag University Affiliated: Yes

Abstract

In this paper we establish several Hadamard type inequalities for differentiable meonvex and (α, m)-convex functions. We also establish Hadamard type inequalities for products of two m-convex or (α, m)-convex functions. Our results generalize some results of B.G. Pachpatte as well as some results of C.E.M. Pearce and J. Pečarić. © 2007 Victoria University All right reserved.