On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula

Kirmaci U., Ozdemir M. E.

APPLIED MATHEMATICS AND COMPUTATION, vol.153, no.2, pp.361-368, 2004 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 153 Issue: 2
  • Publication Date: 2004
  • Doi Number: 10.1016/s0096-3003(03)00637-4
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.361-368
  • Keywords: Hermite-Hadamard inequality, convex functions, concave functions, special means, midpoint formula, integral inequalities
  • Bursa Uludag University Affiliated: Yes

Abstract

Some inequalities are presented here for differentiable convex mappings, using Hermite-Hadamard's integral inequality holding for convex functions. A parallel development is deduced for differentiable concave functions. Some applications to special means of real numbers are also given. Finally, some error estimates for the midpoint formula are obtained. Published by Elsevier Inc.