Dahmen, W.; De Vore, R.; Scherer, K. Multi-dimensional spline approximation. (English) Zbl 0437.41010 SIAM J. Numer. Anal. 17, 380-402 (1980). Summary: We give direct and inverse estimates for multivariate spline approximation. The direct estimates rest on new results for local polynomial approximation which generalize the work of Brudnyi and Bramble-Hilbert. The inverse estimates are multivariate extensions of one variable ideas. Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 38 Documents MSC: 41A15 Spline approximation 41A10 Approximation by polynomials Keywords:multivariate spline approximation; local polynomial approximation PDFBibTeX XMLCite \textit{W. Dahmen} et al., SIAM J. Numer. Anal. 17, 380--402 (1980; Zbl 0437.41010) Full Text: DOI