The Hadamard's inequality for quasi-convex functions via fractional integrals

ÖZDEMİR M. E., YILDIZ Ç.

Annals of the University of Craiova, Mathematics and Computer Science Series, vol.40, no.2, pp.167-173, 2013 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 2
  • Publication Date: 2013
  • Journal Name: Annals of the University of Craiova, Mathematics and Computer Science Series
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.167-173
  • Keywords: Hadamard's inequality, Power-mean inequality, Quasi convex functions, Riemann-Liouville fractional integral
  • Bursa Uludag University Affiliated: Yes

Abstract

In this paper, we give the Riemann-Liouville fractional integrals definitions. We use these Riemann-Liouville fractional integrals to establish some new integral inequalities for quasi-convex functions. Also, some applications for special means of real numbers are provided.