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Functional Inequalities for the Mittag–Leffler Functions

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Abstract

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.

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Authors and Affiliations

  1. Département de Mathématiques ISSAT Kasserine, Université de Kairouan, Kairouan, Tunisia

    Khaled Mehrez

  2. Faculty of Sciences of Tunis, University of Tunis El Manar, Tunis, Tunisia

    Khaled Mehrez

  3. Voronezh Institute of the Russian Ministry of Internal Affairs, Voronezh, Russia

    Sergei M. Sitnik

  4. RUDN University, 6 Miklukho-Maklaya st, Moscow, 117198, Russia

    Sergei M. Sitnik

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  1. Khaled Mehrez
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  2. Sergei M. Sitnik
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Correspondence to Khaled Mehrez.

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Mehrez, K., Sitnik, S.M. Functional Inequalities for the Mittag–Leffler Functions. Results Math 72, 703–714 (2017). https://doi.org/10.1007/s00025-017-0664-x

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