Abstract.
Recently, A. Cohen, R. A. DeVore, P. Petrushev, and H. Xu investigated nonlinear approximation in the space BV (R 2 ). They modified the classical adaptive algorithm to solve related extremal problems. In this paper, we further study the modified adaptive approximation and obtain results on some extremal problems related to the spaces V σ,p r (R d ) of functions of ``Bounded Variation" and Besov spaces B α (R d ).
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November 23, 1998. Date revised: June 25, 1999. Date accepted: September 13, 1999.
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Hu, Y., Kopotun, K. & Yu, X. On Multivariate Adaptive Approximation. Constr. Approx. 16, 449–474 (2000). https://doi.org/10.1007/s003659910019
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DOI: https://doi.org/10.1007/s003659910019