Author(s)

Isaac Fried, Ye Feng

Department of Mathematics, Boston University, Boston, MA, USA.

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.

Least Squares-Approximation of Functions, Weighted Approximations, Nearly Perfect Uniform Fits

Fried, I. and Feng, Y. (2017) Weighted Least-Squares for a Nearly Perfect Min-Max Fit. Applied Mathematics, 8, 645-654. doi: 10.4236/am.2017.85051.