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.

Authors
Mehrez K.1, 2 , Sitnik S.M. 3, 4
Journal
Results in Mathematics
Publisher
Birkhauser Verlag AG
Number of issue
1-2
Language
English
Pages
703-714
Status
Published
Link
External link
DOI
10.1007/S00025-017-0664-X
Volume
72
Year
2017
Organizations
  • 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
Keywords
Lazarević-type inequalities; Mittag–Leffler functions; Turán-type inequalities; Wilker-type inequalities
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