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 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 4
  • Publication Date: 2014
  • Doi Number: 10.1515/gmj-2014-0038
  • Journal Name: GEORGIAN MATHEMATICAL JOURNAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.491-498
  • Keywords: s-convex functions, Ostrowski inequality, Riemann-Liouville fractional integral, Holder inequality, power-mean inequality
  • Bursa Uludag University Affiliated: No

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.