修正的第一类洛梅尔函数的单调性模式和函数不等式

IF 1.4 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2024-08-17 DOI:10.1007/s13324-024-00962-7

H. M. Zayed, K. Mehrez, J. Morais

引用次数: 0

摘要

我们提出了修正的第一类洛梅尔函数的新函数不等式和单调性结果，如绝对单调性、完全单调性、单调性、对数凸性和强凸性。本文还证明了涉及逆图兰型不等式的各种不等式，以说明本文的结果。

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 patterns and functional inequalities for modified Lommel functions of the first kind

We present new functional inequalities and monotonicity results for the modified Lommel functions of the first kind, such as absolute monotonicity, complete monotonicity, monotonicity, log-convexity, and strong convexity. Various inequalities involving reverse Turán-type inequalities are proven to illustrate the results of this paper.

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来源期刊

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.