Title
An interpolatory view of polynomial least squares approximation.
Abstract
We derive a formula for weighted polynomial least squares approximation which expresses the approximant as a convex combination of interpolants. There is a similar formula for L2 approximation and the same principle applies to multivariate approximation.
Year
DOI
Venue
2020
10.1016/j.jat.2019.105360
Journal of Approximation Theory
Keywords
Field
DocType
Polynomial least squares approximation,Polynomial interpolation,Cauchy–Binet theorem
Applied mathematics,Convex combination,Multivariate statistics,Mathematical analysis,Mathematics,Polynomial least squares
Journal
Volume
ISSN
Citations 
252
0021-9045
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Qingjun Chang100.34
Chongyang Deng291.94
Michael S. Floater31333117.22