Paper Info
Title
Weierstrass type approximation by weighted polynomials in Rd.
Abstract
In this paper we consider weighted polynomial approximation on unbounded multidimensional domains in the spirit of the weighted version of the Weierstrass trigonometric theorem according to which every continuous function on the real line with equal finite limits at ±∞ is a uniform limit on R of weighted algebraic polynomials of degree 2n with varying weights (1+t2)−n. We will verify a similar statement in the multivariate setting for a general class of convex weights.
Year
DOI
Venue
2019
10.1016/j.jat.2019.07.005
Journal of Approximation Theory
Keywords
Field
DocType
41A10,41A63
Trigonometry,Continuous function,Combinatorics,Algebraic number,Polynomial,Uniform limit theorem,Real line,Mathematical analysis,Regular polygon,Hyperplane,Mathematics
Journal
Volume
ISSN
Citations 
246
0021-9045
0
PageRank 
References 
Authors
0.34
0
1
Name
Order
Citations
PageRank
András Kroó1157.29