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On the Maximum Modulus of Polynomials

โœ Scribed by T. J. Rivlin


Book ID
111958384
Publisher
Mathematical Association of America
Year
1960
Tongue
English
Weight
330 KB
Volume
67
Category
Article
ISSN
0002-9890

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๐Ÿ“œ SIMILAR VOLUMES


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

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