caa a22 4500 475743636 CHVBK 20180406123506.0 cr unu---uuuuu 170329e20000701xx s 000 0 eng 10.1007/s003659910019 doi (NATIONALLICENCE)springer-10.1007/s003659910019 On Multivariate Adaptive Approximation [Elektronische Daten] [Y. K. Hu, K. A. Kopotun, X. M. Yu] 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 's'sBounded Variation" and Besov spaces B α (R d ). Springer-Verlag New York Inc., 2000 Key words. Nonlinear approximation, Approximation spaces, Adaptive algorithms, Piecewise polynomials, Splines, Besov spaces, Degree of approximation, Modulus of smoothness, K -Functionals nationallicence AMS Classification. 41A15, 41A17, 41A25, 41A27, 41A46, 41A63 nationallicence Hu Y. K. Department of Mathematics and Computer Science, Georgia Southern University, GA 30360, Statesboro, USA aut Kopotun K. A. Department of Mathematics, Vanderbilt University, TN 37240, Nashville, USA aut Yu X. M. Department of Mathematics, Southwest Missouri State University, MO 65804, Springfield, USA aut https://doi.org/10.1007/s003659910019 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s003659910019 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hu Y. K. Department of Mathematics and Computer Science, Georgia Southern University, GA 30360, Statesboro, USA aut NATIONALLICENCE 700 1- Kopotun K. A. Department of Mathematics, Vanderbilt University, TN 37240, Nashville, USA aut NATIONALLICENCE 700 1- Yu X. M. Department of Mathematics, Southwest Missouri State University, MO 65804, Springfield, USA aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer