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

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

Abstract

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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修正的第一类洛梅尔函数的单调性模式和函数不等式

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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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.