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

Rensuo Li, Yongping Liu

School of Information and Technology, Shandong Agricultural University, Tai’an, China.
School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems,Ministry of Education, Beijing, China.

DOI: 10.4236/apm.2012.23025                

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 metricL_p(T^d(1≤p≤∞ are given.

Keywords

Besov Classes; m-Term Approximation; One-Sided Approximation; Trigonometric Polynomial; Greedy Algorithm

Conflicts of Interest

The authors declare no conflicts of interest.

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