Bivariate Polynomials of Least Deviation from Zero
Autor: | Geno Nikolov, Borislav Bojanov, Werner Haußmann |
---|---|
Rok vydání: | 2001 |
Předmět: |
Discrete mathematics
General Mathematics 010102 general mathematics 01 natural sciences Unit disk Combinatorics Bivariate polynomials Difference polynomials TheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITY Norm (mathematics) 0103 physical sciences 010307 mathematical physics 0101 mathematics Mathematics |
Zdroj: | Canadian Journal of Mathematics. 53:489-505 |
ISSN: | 1496-4279 0008-414X |
DOI: | 10.4153/cjm-2001-021-3 |
Popis: | Bivariate polynomials with a fixed leading term xmyn, which deviate least fromzero in the uniform or L2-norm on the unit disk D (resp. a triangle) are given explicitly. A similar problem in Lp, 1 ≤ p ≤ ∞, is studied on D in the set of products of linear polynomials. |
Databáze: | OpenAIRE |
Externí odkaz: |