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Turán Type Inequalities for Classical and Generalized Mittag-Leffler Functions

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Abstract

In this paper some Turán type inequalities for classical and generalized Mittag-Leffler functions are considered. The method is based on proving monotonicity for the special ratio of sections for series of such functions. Some applications are considered to Lazarević type and Wilker type inequalities for classical and generalized Mittag-Leffler functions.

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Authors and Affiliations

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

    K. Mehrez

  2. Faculty of Sciences of Tunis, University of Tunis El Manar, 1060, Tunis, Tunisia

    K. Mehrez

  3. Voronezh Institute of the Ministry of Internal Affairs of Russia, Patriotov pr. 53, Voronezh, 394065, Russia

    S. M. Sitnik

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  1. K. Mehrez
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Mehrez, K., Sitnik, S.M. Turán Type Inequalities for Classical and Generalized Mittag-Leffler Functions. Anal Math 44, 521–541 (2018). https://doi.org/10.1007/s10476-018-0404-9

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  • DOI: https://doi.org/10.1007/s10476-018-0404-9

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