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A. S. Romanyuk, “Best m-Term Trigonometric Approximations of Besov Classes of Periodic Functions of Several Variables,” Izvestiya: Mathematics, Vol. 67, No. 2, 2003, pp. 265-302. doi:10.1070/IM2003v067n02ABEH000427

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.