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On Maximum and Minimum Values of the Modulus of a Polynomial

โœ Scribed by D. N. Lehmer

Book ID
123919895
Publisher
John Hopkins University Press
Year
1907
Tongue
English
Weight
182 KB
Volume
8
Category
Article
ISSN
0003-486X

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๐Ÿ“œ SIMILAR VOLUMES

On the Maximum Modulus of Polynomials
On the Maximum Modulus of Polynomials
โœ T. J. Rivlin ๐Ÿ“‚ Article ๐Ÿ“… 1960 ๐Ÿ› Mathematical Association of America ๐ŸŒ English โš– 330 KB
On the Maximum Modulus of Polynomials
On the Maximum Modulus of Polynomials
โœ K.K. Dewan; J. Kaur ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 114 KB

A well-known result of Rivlin states that if \(p(z)\) is a polynomial of degree \(n\), such that \(p(z) \neq 0\) in \(|z|<1\), then \(\max _{1:} \quad, \quad|p(z)| \geqslant((r+1) / 2)^{n} \max _{1: 1},|p(z)|\). In this paper, we prove a generalization and refinements of this result. 1994 Academic P