Discussion of some inequalities via fractional integrals

Recently, many generalizations and extensions of well-known inequalities were obtained via different kinds of fractional integrals. In this paper, we show that most of those results are particular cases of (or equivalent to) existing inequalities from the literature. As consequence, such results are not real generalizations. © 2018, The Author(s).

Authors
Kirane M. 1, 2, 3 , Samet B. 4
Journal
Journal of Inequalities and Applications
Publisher
Springer International Publishing
Language
English
Status
Published
Link
External link
DOI
10.1186/s13660-017-1609-3
Number
19
Volume
2018
Year
2018
Organizations
  • 1 LaSIE, Faculté des Sciences et Technologies, Universié de La Rochelle, Avenue M. Crépeau, La Rochelle Cedex, 17042, France
  • 2 RUDN University, 6 Miklukho-Maklay St, Moscow, 117198, Russian Federation
  • 3 Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia
  • 4 Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia
Keywords
fractional integrals; inequalities
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/7325/
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