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).

Авторы
Kirane M. 1, 2, 3 , Samet B. 4
Редакторы
-
Издательство
Springer International Publishing
Номер выпуска
-
Язык
Английский
Страницы
-
Статус
Опубликовано
Подразделение
-
Номер
19
Том
2018
Год
2018
Организации
  • 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
Ключевые слова
fractional integrals; inequalities
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/7325/