An Ostrowski type inequality for derivatives of q-th power of s-convex functions via fractional integrals


Ozdemir M. E. , YILDIZ Ç.

GEORGIAN MATHEMATICAL JOURNAL, vol.21, no.4, pp.491-498, 2014 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 4
  • Publication Date: 2014
  • Doi Number: 10.1515/gmj-2014-0038
  • Title of Journal : GEORGIAN MATHEMATICAL JOURNAL
  • Page Numbers: pp.491-498
  • Keywords: s-convex functions, Ostrowski inequality, Riemann-Liouville fractional integral, Holder inequality, power-mean inequality

Abstract

In this paper, we establish several new inequalities for s-convex mappings that are connected with the Riemann-Liouville fractional integrals. Our results have some relationships with an Ostrowski type integral inequality in the literature.