Hadamard-type inequalities for s-convex functions


KIRMACI U. S. , Bakula M. K. , ÖZDEMİR M. E. , Pecaric J.

APPLIED MATHEMATICS AND COMPUTATION, vol.193, no.1, pp.26-35, 2007 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 193 Issue: 1
  • Publication Date: 2007
  • Doi Number: 10.1016/j.amc.2007.03.030
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.26-35
  • Keywords: Hadamard's inequality, s-convex functions, convex functions, product of two functions, DIFFERENTIABLE MAPPINGS, QUADRATURE-RULES, THEOREM

Abstract

In this paper we establish some new inequalities for differentiable functions based on concavity and s-convexity. We also prove several Hadamard-type inequalities for products of two convex and s-convex functions. (C) 2007 Elsevier Inc. All rights reserved.