TITLE:
The Best m-Term One-Sided Approximation of Besov Classes by the Trigonometric Polynomials
AUTHORS:
Rensuo Li, Yongping Liu
KEYWORDS:
Besov Classes; m-Term Approximation; One-Sided Approximation; Trigonometric Polynomial; Greedy Algorithm
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.2 No.3,
May
29,
2012
ABSTRACT: 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.