TITLE:
Weighted Least-Squares for a Nearly Perfect Min-Max Fit
AUTHORS:
Isaac Fried, Ye Feng
KEYWORDS:
Least Squares-Approximation of Functions, Weighted Approximations, Nearly Perfect Uniform Fits
JOURNAL NAME:
Applied Mathematics,
Vol.8 No.5,
May
22,
2017
ABSTRACT: In this note, we experimentally demonstrate, on a variety of analytic and nonanalytic functions, the novel observation that if the least squares polynomial approximation is repeated as weight in a second, now weighted, least squares approximation, then this new, second, approximation is nearly perfect in the uniform sense, barely needing any further, say, Remez correction.