Monotonicity properties and functional inequalities for the Volterra and incomplete Volterra functions |
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| Authors: | Khaled Mehrez Sergei M Sitnik |
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| Affiliation: | 1. Département de Mathématiques, Facultée des sciences de Tunis, Université Tunis El Manar, Tunis, Tunisia;2. Département de Mathématiques ISSAT Kasserine, Université de Kairouan, Kairouan, Tunisia;3. Belgorod State National Research University (BSU), Belgorod, Russia |
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| Abstract: | In this paper we prove some monotonicity, log–convexity and log–concavity properties for the Volterra and incomplete Volterra functions. Moreover, as consequences of these results, we present some functional inequalities (like Turán type inequalities) as well as we determined sharp upper and lower bounds for the normalized incomplete Volterra functions in terms of weighted power means. |
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| Keywords: | Volterra function incomplete Volterra function functional inequalities completely monotonic log-convex functions Turán type inequalities |
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