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J. Math. Comput. Sci. 8 (2018), 630–643

Hadamard and Fejer-Hadamard type integral inequalities for harmonically convex functions via an extended generalized Mittag-Leffler function

G. Farid, A. Ur. Rehman, S. Mehmood

Abstract

In this paper generalized form of some new inequalities of the Hadamard and the Fejer-Hadamard type have been established. Fractional integral operators due to an extended generalized Mittag-Leffler function via harmonically convex functions are utilized to obtain the new results.

Published
1 September 2018
Volume
8 (2018)
License
CC BY 3.0

Copyright © 2018 G. Farid, A. Ur. Rehman, S. Mehmood. 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

G. Farid, A. U. Rehman, S. Mehmood, Hadamard and Fejer-Hadamard type integral inequalities for harmonically convex functions via an extended generalized Mittag-Leffler function, J. Math. Comput. Sci. 8 (2018), 630–643. https://doi.org/10.28919/jmcs/3880

BibTeX
@article{Farid2018,
  author  = {Farid, G. and Rehman, A. Ur. and Mehmood, S.},
  title   = {Hadamard and Fejer-Hadamard type integral inequalities for harmonically convex functions via an extended generalized Mittag-Leffler function},
  journal = {J. Math. Comput. Sci.},
  volume  = {8},
  year    = {2018},
  pages   = {630--643},
  doi     = {10.28919/jmcs/3880}
}