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R. Li and Y. Liu, “The Asymptotic Estimations of Best m-Term Approximation and Greedy Algorithm for Multiplier Function Classes Defined by Fourier Series,” Chinese Journal of Engineering Mathematics, Vol. 25, No. 1, 2008, pp. 89-96. doi:10.3901/JME.2008.10.089

has been cited by the following article:

• 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.