Weighted Least-Squares for a Nearly Perfect Min-Max Fit

• 作者: Isaac Fried Ye Feng
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Least Squares-Approximation of Functions WEIGHTED APPROXIMATIONS NEARLY PERFECT Uniform FITS
• 年，卷（期）: 2017,（5）
• 页码范围: 645-654
• 页数: 10页
• 分类号: O1

摘要

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.