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Theorems about the Maximum Modulus of Polynomials

✍ Scribed by Rado, R.


Book ID
120103379
Publisher
Oxford University Press
Year
1936
Tongue
English
Weight
422 KB
Volume
s2-41
Category
Article
ISSN
0024-6115

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πŸ“œ SIMILAR VOLUMES


On the Maximum Modulus of Polynomials
✍ T. J. Rivlin πŸ“‚ Article πŸ“… 1960 πŸ› Mathematical Association of America 🌐 English βš– 330 KB
On the Maximum Modulus of Polynomials
✍ K.K. Dewan; J. Kaur πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 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

A maximum modulus theorem for the Oseen
✍ Kračmar, S.; MedkovΓ‘, D.; NečasovΓ‘, Ε .; Varnhorn, W. πŸ“‚ Article πŸ“… 2012 πŸ› Springer 🌐 English βš– 263 KB