Author(s)

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.

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.

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

R. Li and Y. Liu, "The Best m-Term One-Sided Approximation of Besov Classes by the Trigonometric Polynomials," Advances in Pure Mathematics, Vol. 2 No. 3, 2012, pp. 183-189. doi: 10.4236/apm.2012.23025.