Barnes - Mittag-Leffler函数的单调性和泛函不等式

IF 0.9 4区数学 Q1 Mathematics

Miskolc Mathematical Notes Pub Date : 2023-01-01 DOI:10.18514/mmn.2023.3997

K. Mehrez, Sourav Das, Anish Kumar

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引用次数: 0

摘要

．本文的重点是建立Barnes - Mittag-Leffler函数的完全单调性、凸性和一些有趣的不等式。进一步推导了Barnes - Mittag-Leffler函数比值的单调性。并以此函数为应用，得到了turan型不等式和几个新的不等式。在这项工作中获得的结果是新的，它们的重要性是由几个有吸引力的结果和推论说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Monotonicity properties and functional inequalities for the Barnes Mittag-Leffler function

. In this paper, our main focus is to establish complete monotonicity properties, convexity properties and some interesting inequalities for the Barnes Mittag-Lefﬂer function. Furthermore, monotonicity properties of ratios of Barnes Mittag-Lefﬂer functions are derived. Moreover, Tur´an type inequalities and several new inequalities are obtained for this function as application. Results obtained in this work are new and their importance is illustrated by several attractive consequences and corollaries.

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来源期刊

Miskolc Mathematical Notes Mathematics-Algebra and Number Theory

CiteScore

2.00

自引率

0.00%

发文量

期刊介绍： Miskolc Mathematical Notes, HU ISSN 1787-2405 (printed version), HU ISSN 1787-2413 (electronic version), is a peer-reviewed international mathematical journal aiming at the dissemination of results in many fields of pure and applied mathematics.