NEW OSTROWSKI TYPE INEQUALITIES FOR m-CONVEX FUNCTIONS AND APPLICATIONS

Kavurmaci H., ÖZDEMİR M. E., Avci M.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.40, no.2, pp.135-145, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 2
  • Publication Date: 2011
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.135-145
  • Keywords: m-convex function, Starshaped function, Convex function, Ostrowski inequality, Hermite-Hadamard inequality, Holder inequality, Power Mean inequality, Special means, The midpoint formula, Lipschitzian mapping, DIFFERENTIABLE MAPPINGS
  • Bursa Uludag University Affiliated: Yes

Abstract

In this paper we establish new inequalities of Ostrowski type, for functions whose derivatives in absolute value are m-convex. We also give some applications to special means of positive real numbers. Finally, we obtain some error estimates for the midpoint formula.