Szegö's inequality revisited

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-03-21 DOI:10.1016/j.jmaa.2025.129505

Rui A.C. Ferreira

引用次数: 0

Abstract

By using an equality due to Feldheim between Hermite and Laguerre polynomials we give a very short proof of Szegö's inequality. In the process we obtained a better bound for the Laguerre polynomials.

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重新审视Szegö的不平等

利用Hermite多项式和Laguerre多项式之间的费尔德海姆不等式，给出了Szegö不等式的一个简短证明。在此过程中，我们得到了拉盖尔多项式的一个较好的界。

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

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.