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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive
Sib. Èlektron. Mat. Izv., 2010 Volume 7, Pages 255–274 (Mi semr243)
This article is cited in 6 papers

Research papers

On the exact estimations of the best $M$–terms approximation of the Besov class

G. A. Akishev

E. A. Buketov Karaganda State University

Abstract: The anisotropic Lebesgue space of periodic functions is considered in this paper. The exact estimate of the $M$-term of approximation function O. V. Besov's classes in the space Lebesgue with anisotropic metric is obtained in the paper.

Keywords: Lebesgue space, Besov's classes, anisotropic metric.

UDC: 517.51

MSC: 42A30

Received December 20, 2009, published September 14, 2010



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