On some inequalities for s-convex functions and applications


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Ozdemir M. E. , YILDIZ Ç., Akdemir A. O. , Set E.

JOURNAL OF INEQUALITIES AND APPLICATIONS, vol.2013, 2013 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2013
  • Publication Date: 2013
  • Doi Number: 10.1186/1029-242x-2013-333
  • Title of Journal : JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Keywords: Hadamard's inequality, s-convex (concave) function, Holder inequality, power-mean inequality, MAPPINGS

Abstract

Some new results related to the left-hand side of the Hermite-Hadamard type inequalities for the class of functions whose second derivatives at certain powers are s-convex functions in the second sense are obtained. Also, some applications to special means of real numbers are provided.