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Adv. Inequal. Appl. 2020 (2020), Article ID 1

m-Convex functions associated with bounds of k-fractional integrals

Sajid Mehmood, Ghulam Farid

Abstract

In this paper, bounds of Riemann-Liouville k-fractional integrals and bounds of generalized RiemannLiouville k-fractional integrals have been established. To establish these bounds we use m-convexity and monotonicity of utilized functions. A very simple approach is followed to obtain these results. Also applications of presented results are discussed.

Published
25 October 2019
Volume
2020 (2020)
License
CC BY 3.0

Copyright © 2019 Sajid Mehmood, Ghulam Farid. 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

S. Mehmood, G. Farid, m-Convex functions associated with bounds of k-fractional integrals, Adv. Inequal. Appl. 2020 (2020), 1. https://doi.org/10.28919/aia/4349

BibTeX
@article{Mehmood2020,
  author  = {Mehmood, Sajid and Farid, Ghulam},
  title   = {m-Convex functions associated with bounds of k-fractional integrals},
  journal = {Adv. Inequal. Appl.},
  volume  = {2020},
  year    = {2020},
  pages   = {1},
  doi     = {10.28919/aia/4349}
}