ON COMPANION OF OSTROWSKI INEQUALITY FOR MAPPINGS WHOSE FIRST DERIVATIVES ABSOLUTE VALUE ARE CONVEX WITH APPLICATIONS


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Alomari M. W. , Ozdemir M. E. , Kavurmac H.

MISKOLC MATHEMATICAL NOTES, vol.13, no.2, pp.233-248, 2012 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 13 Issue: 2
  • Publication Date: 2012
  • Doi Number: 10.18514/mmn.2012.480
  • Title of Journal : MISKOLC MATHEMATICAL NOTES
  • Page Numbers: pp.233-248
  • Keywords: Convex mappings, Hermite-Hadamard inequality, Ostrowski inequality

Abstract

Several inequalities for a companion of Ostrowski inequality for absolutely continuous mappings whose first derivatives absolute value are convex (resp. concave) are established. Applications to a composite quadrature rule, to p.d.f.'s, and to special means are provided.