On the zeros of a polynomial

被引：1

作者：

Jain, V. K. ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Kharagpur 721302, W Bengal, India

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2009年 / 119卷 / 01期

关键词：

Upper bound; p zeros of smallest moduli; refinement; Enestrom-Kakeya theorem;

D O I：

10.1007/s12044-009-0004-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a polynomial of degree n, we have obtained an upper bound involving coefficients of the polynomial, for moduli of its p zeros of smallest moduli, and then a refinement of the well-known Enestrom-Kakeya theorem (under certain conditions).

引用

页码：37 / 43

页数：7

共 50 条

[1] On the zeros of a polynomial
V. K. Jain
[J]. Proceedings - Mathematical Sciences, 2009, 119 : 37 - 43
[2] The zeros of a polynomial
Grace, JH
[J]. PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1902, 11 : 352 - 357
[3] ON ZEROS OF A POLYNOMIAL
FRANK, E
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 17 (02): : 474 - &
[4] ON THE ZEROS OF A POLYNOMIAL
ALZER, H
[J]. JOURNAL OF APPROXIMATION THEORY, 1995, 81 (03) : 421 - 424
[5] ON ZEROS OF POLYNOMIAL
Das, Subhasis
[J]. UFA MATHEMATICAL JOURNAL, 2019, 11 (01): : 114 - 120
[6] ON THE LOCATION OF THE ZEROS OF A POLYNOMIAL
GARDNER, RB
GOVIL, NK
[J]. JOURNAL OF APPROXIMATION THEORY, 1994, 78 (02) : 286 - 292
[7] On zeros of a complex polynomial
Mittal, R. C.
Agarwal, R.
[J]. Indian Journal of Pure and Applied Mathematics, 1995, 26 (04):
[8] ON THE LOCATION OF ZEROS OF A POLYNOMIAL
M.H.Gulzar
[J]. Analysis in Theory and Applications, 2012, 28 (03) : 242 - 247
[9] LOCALIZATION OF POLYNOMIAL ZEROS
PARODI, M
[J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1974, 279 (17): : 691 - 694
[10] LOCATION OF ZEROS OF A POLYNOMIAL
TIKOO, ML
[J]. AMERICAN MATHEMATICAL MONTHLY, 1967, 74 (06): : 688 - &

← 1 2 3 4 5 →