HERMITE-HADAMARD TYPE INEQUALITIES FOR PRODUCT OF HARMONICALLY CONVEX FUNCTIONS VIA RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS

KUNT M., İŞCAN İ., YAZICI GÖZÜTOK N.

JOURNAL OF MATHEMATICAL ANALYSIS, vol.7, no.4, pp.74-82, 2016 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 4
  • Publication Date: 2016
  • Journal Name: JOURNAL OF MATHEMATICAL ANALYSIS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.74-82
  • Keywords: Hermite-Hadamard inequality, Harmonically convex functions, Riemann-Liouville fractional integral
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this paper, some Hermite-Hadamard type inequalities for products of two harmonically convex functions via Riemann-Liouville fractional integrals are established. Our results about harmonically convex functions are analogous generalizations for some other results proved by Pachpette, Chan and Noor for convex and harmonically h-convex functions.