The Best m-Term One-Sided Approximation of Besov Classes by the Trigonometric Polynomials

• 作者: Rensuo Li Yongping Liu
• 来源期刊: 理论数学进展(英文)
• 学科: 数学
• 关键词: BESOV CLASSES m-Term APPROXIMATION ONE-SIDED APPROXIMATION Trigonometric Polynomial Greedy Algorithm
• 年，卷（期）: 2012,（3）
• 页码范围: 183-189
• 页数: 7页
• 分类号: O1

摘要

In this paper, we continue studying the so called best m-term one-sided approximation and Greedy-liked one-sided ap- proximation by the trigonometric polynomials. The asymptotic estimations of the best m-terms one-sided approximation by the trigonometric polynomials on some classes of Besov spaces in the metricLp(Td(1≤p≤∞ are given.