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The Best m-Term One-Sided Approximation of Besov Classes by the Trigonometric Polynomials
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
- 1 School of Information and Technology, Shandong Agricultural University, Tai’an, China
- 2 School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems,Ministry of Education, Beijing, China
Advances in Pure Mathematics·Volume 02 (2012)·Pages 183–189·Published 29 May 2012·DOI10.4236/apm.2012.23025
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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.
KeywordsBesov Classesm-Term ApproximationOne-Sided ApproximationTrigonometric PolynomialGreedy Algorithm
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