Bivariate Polynomials of Least Deviation from Zero

Author:

Bojanov Borislav D.,Haußmann Werner,Nikolov Geno P.

Abstract

AbstractBivariate 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.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Monomial and Rodrigues orthogonal polynomials on the cone;Journal of Mathematical Analysis and Applications;2023-06

2. Explicit min–max polynomials on the disc;Journal of Approximation Theory;2011-06

3. Monomial orthogonal polynomials of several variables;Journal of Approximation Theory;2005-03

4. On Polynomials of Least Deviation from Zero in Several Variables;Experimental Mathematics;2004-01

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