关于多项式零点的柯西类型界

Q4 Mathematics

Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications Pub Date : 2020-01-01 DOI:10.56082/annalsarscimath.2020.1-2.117

Subhasis Das

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引用次数: 0

摘要

设p(z)是n次多项式，有实系数或复系数。利用Lacunary型多项式，Gugenheimer推广了关于多项式p (z)的零模的Cauchy界，Jain进一步改进了Gugenheimer界。本文试图对前人的研究成果进行调查和推广。在许多情况下，我们发现新的边界比其他一些已知的边界要好得多

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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ON CAUCHY’S TYPE BOUND FOR ZEROS OF A POLYNOMIAL

Let p(z) be a polynomial of degree n with real or complex coefficients. Using the Lacunary type polynomial, Gugenheimer generalized the Cauchy bound concerning the moduli of zeros of a polynomial p (z). Jain further improved the Gugenheimer bound. In the present paper an attempt to investigate and extend the previous results were made. In many cases we found that the new bounds are much better than some of the other well-known bounds

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来源期刊

Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications Mathematics-Mathematics (all)

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

25 weeks

期刊介绍： The journal Mathematics and Its Applications is part of the Annals of the Academy of Romanian Scientists (ARS), in which several series are published. Although the Academy is almost one century old, due to the historical conditions after WW2 in Eastern Europe, it is just starting with 2006 that the Annals are published. The Editor-in-Chief of the Annals is the President of ARS, Prof. Dr. V. Candea and Academician A.E. Sandulescu (†) is his deputy for this domain. Mathematics and Its Applications invites publication of contributed papers, short notes, survey articles and reviews, with a novel and correct content, in any area of mathematics and its applications. Short notes are published with priority on the recommendation of one of the members of the Editorial Board and should be 3-6 pages long. They may not include proofs, but supplementary materials supporting all the statements are required and will be archivated. The authors are encouraged to publish the extended version of the short note, elsewhere. All received articles will be submitted to a blind peer review process. Mathematics and Its Applications has an Open Access policy: all content is freely available without charge to the user or his/her institution. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles in this journal without asking prior permission from the publisher or the author. No submission or processing fees are required. Targeted topics include : Ordinary and partial differential equations Optimization, optimal control and design Numerical Analysis and scientific computing Algebraic, topological and differential structures Probability and statistics Algebraic and differential geometry Mathematical modelling in mechanics and engineering sciences Mathematical economy and game theory Mathematical physics and applications.