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Adv. Inequal. Appl. 2017 (2017), Article ID 6

On Hermite-Hadamard type inequalities for generalized (s,m,Ï•)-preinvex functions via k-fractional integrals

Artion Kashuri, Rozana Liko

Abstract

In the present paper, the notion of generalized (s,m,Ï•)-preinvex function is applied for establish some new Hermite-Hadamard type inequalities by using new identity for k-fractional Riemann-Liouville integrals. At the end, some applications to special means are given. These results provide new estimates on these Hermite-Hadamard type inequalities via k-fractional Riemann-Liouville integrals.

Published
16 February 2017
Volume
2017 (2017)
License
CC BY 3.0

Copyright © 2017 Artion Kashuri, Rozana Liko. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

A. Kashuri, R. Liko, On Hermite-Hadamard type inequalities for generalized (s,m,Ï•)-preinvex functions via k-fractional integrals, Adv. Inequal. Appl. 2017 (2017), 6.

BibTeX
@article{Kashuri2017,
  author  = {Kashuri, Artion and Liko, Rozana},
  title   = {On Hermite-Hadamard type inequalities for generalized (s,m,Ï•)-preinvex functions via k-fractional integrals},
  journal = {Adv. Inequal. Appl.},
  volume  = {2017},
  year    = {2017},
  pages   = {6},
  doi     = {}
}