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.
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页码：35 / 42
页数：8
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