On new inequalities of Hermite-Hadamard-Fejer type for harmonically convex functions via fractional integrals

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KUNT M. , Iscan I., Yazici N. , GÖZÜTOK U.

SPRINGERPLUS, vol.5, 2016 (Journal Indexed in SCI) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 5
  • Publication Date: 2016
  • Doi Number: 10.1186/s40064-016-2215-4
  • Title of Journal : SPRINGERPLUS
  • Keywords: Hermite-Hadamard inequality, Hermite-Hadamard-Fejer inequality, Riemann-Liouville fractional integrals, Harmonically convex functions

Abstract

In this paper, firstly, new Hermite-Hadamard type inequalities for harmonically convex functions in fractional integral forms are given. Secondly, Hermite-Hadamard-Fejer inequalities for harmonically convex functions in fractional integral forms are built. Finally, an integral identity and some Hermite-Hadamard-Fejer type integral inequalities for harmonically convex functions in fractional integral forms are obtained. Some results presented here provide extensions of others given in earlier works.