雅可比多项式极值零点的简单边界

IF 1.2 3区数学 Q1 MATHEMATICS Journal of Mathematical Analysis and Applications Pub Date : 2025-07-01 Epub Date: 2025-01-16 DOI:10.1016/j.jmaa.2025.129267

Geno Nikolov

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引用次数: 0

摘要

用初等方法得到了雅可比多项式的一些新的极值零点边界。这些边界的一个特点是它们的形式简单，这使得它们易于使用。尽管它们很简单，我们的格根鲍尔多项式的最大零的下界与一些迄今为止最好的结果是相容的。

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Simple bounds for the extreme zeroes of Jacobi polynomials

Some new bounds for the extreme zeroes of Jacobi polynomials are obtained with an elementary approach. A feature of these bounds is their simple forms, which make them easy to work with. Despite their simplicity, our lower bounds for the largest zeroes of Gegenbauer polynomials are compatible with some of the best hitherto known results.

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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.