SOME BOUNDS FOR THE ZEROS OF POLYNOMIALS

被引：0

作者：

Chishti, Mahnaz Shafi ^{[1
]}

Mir, Mohammad Ibrahim ^{[2
]}

Tyagi, Vipin Kumar ^{[1
]}

机构：

[1] Shobhit Inst Engn & Technol Deemed be Univ Meerut, Sch Basic & Appl Sci, Meerut 250110, Uttar Pradesh, India

[2] Univ Kashmir, Dept Math, South Campus, Anantnag, Jammu And Kashm, India

来源：

JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2023年 / 30卷 / 01期

关键词：

polynomials; zeros; Holder's inequality; polygonal line;

D O I：

10.7468/jksmeb.2023.30.1.35

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we find a bound for all the zeros of a polynomial in terms of its coefficients similar to the bound given by Montel (1932) and Kuneyida (1916) as an improvement of Cauchy's classical theorem. In fact, we use a generalized version of Holder's inequality for obtaining various interesting bounds for all the zeros of a polynomial as function of their coefficients.

引用

页码：35 / 42

页数：8

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