Functional Inequalities for the Mittag–Leffler Functions

In this paper, some Turán-type inequalities for Mittag–Leffler functions are considered. The method is based on proving monotonicity for special ratio of sections for series of Mittag–Leffler functions. Furthermore, we deduce the Lazarević- and Wilker-type inequalities for Mittag–Leffler functions. © 2017, Springer International Publishing.

Авторы
Mehrez K.1, 2 , Sitnik S.M. 3, 4
Журнал
Издательство
Birkhauser Verlag AG
Номер выпуска
1-2
Язык
Английский
Страницы
703-714
Статус
Опубликовано
Том
72
Год
2017
Организации
  • 1 Département de Mathématiques ISSAT Kasserine, Université de Kairouan, Kairouan, Tunisia
  • 2 Faculty of Sciences of Tunis, University of Tunis El Manar, Tunis, Tunisia
  • 3 Voronezh Institute of the Russian Ministry of Internal Affairs, Voronezh, Russian Federation
  • 4 RUDN University, 6 Miklukho-Maklaya st, Moscow, 117198, Russian Federation
Ключевые слова
Lazarević-type inequalities; Mittag–Leffler functions; Turán-type inequalities; Wilker-type inequalities
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/5369/