Inequalities for a polynomial and its derivative

被引：10

作者：

Chanam, Barchand ^{[1
]}

Dewan, K. K. ^{[1
]}

机构：

[1] Jamia Millia Islamia Cent Univ, Fac Nat Sci, Dept Math, New Delhi 110025, India

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 336卷 / 01期

关键词：

polynomials; maximum modulus; inequalities; derivative; Rivlin's theorem;

D O I：

10.1016/j.jmaa.2007.02.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

[GRAPHICS] Equality holds for the polynomial p(z) = (z(mu) + k(mu))(n/mu) where n is a multiple of mu. In this paper, we obtain an improvement of the above inequality by involving some of the coefficients. As an application of our result, we further improve upon a result recently proved by Aziz and Shah [A. Aziz, W.M. Shah, Inequalities for a polynomial and its derivative, Math. Inequal. Appl. 7 (3) (2004) 379-391]. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：171 / 179

页数：9

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