๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the maximal modulus of polynomials on Cantor sets

โœ Scribed by Gerold Wagner

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
1004 KB
Volume
67
Category
Article
ISSN
0021-9045

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

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

On dynamics of certain Cantor sets
On dynamics of certain Cantor sets
โœ Saad I El-Zanati; William R.R Transue ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 416 KB
On the Number of Sets Definable by Polyn
On the Number of Sets Definable by Polynomials
โœ Gabriela Jeronimo; Juan Sabia ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 102 KB

We show that the known algorithms used to re-write any first order quantifierfree formula over an algebraically closed field into its normal disjunctive form are essentially optimal. This result follows from an estimate of the number of sets definable by equalities and inequalities of fixed polynomi