Delvos, Franz-Jürgen; Posdorf, Horst On optimal tensor product approximation. (English) Zbl 0442.41002 J. Approximation Theory 18, 99-107 (1976). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Document MSC: 41A05 Interpolation in approximation theory 65D05 Numerical interpolation 41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) Keywords:finite element method; tensor product schemes of interpolation; error functionals Citations:Zbl 0159.209; Zbl 0269.41029; Zbl 0333.41009; Zbl 0158.136; Zbl 0296.41011 PDF BibTeX XML Cite \textit{F.-J. Delvos} and \textit{H. Posdorf}, J. Approx. Theory 18, 99--107 (1976; Zbl 0442.41002) Full Text: DOI References: [1] Berezanskij, Ju. M., Expansions in Eigenfunctions of Selfadjoint Operators (1968), American Mathematical Society: American Mathematical Society Providence, R.I [2] Birkhoff, G.; de Boor, C. R., Piecewise polynomial interpolation and approximation, (Garabedian, H. L., Approximation of Functions (1965), Elsevier: Elsevier Amsterdam/New York) · Zbl 0136.04703 [3] Birkhoff, G.; Schultz, M. H.; Varga, R. S., Piecewise Hermite interpolation in one and two variables with application to partial differential equations, Numer. Math., 11, 232-256 (1968) · Zbl 0159.20904 [4] Delvos, F.-J, On surface interpolation, J. Approximation Theory, 15, 209-213 (1975) · Zbl 0317.41036 [5] Delvos, F.-J; Schlosser, K. H., Das Tensorproduktschema von Spline-Systemen, (Böhmer, K.; Meinardus, G.; Schempp, W., Spline-Funktionen. Vorträge und Aufsätze (1974), Bibliographisches Institut: Bibliographisches Institut Mannheim/Wien/Zürich), 59-73 · Zbl 0295.41009 [6] Gordon, W. J., Distributive lattices and approximation of multivariate functions, (Schoenberg, I. J., Approximation with Special Emphasis on Spline Functions (1969), Academic Press: Academic Press New York), 223-277 [7] Haussmann, W.; Münch, H. J., Topological spline systems, (Böhmer, K.; Meinardus, G.; Schempp, W., Spline-Funktionen. Vorträge und Aufsätze (1974), Bibliographisches Institut: Bibliographisches Institut Mannheim/Wien/Zürich), 109-127 [8] Ritter, K., Two dimensional spline functions and best approximation of linear functionals, J. Approximation Theory, 3, 352-368 (1970) · Zbl 0203.37001 [9] Sard, A., Linear Approximation (1963), American Mathematical Society: American Mathematical Society Providence, R. I · Zbl 0115.05403 [10] Sard, A., Optimal approximation, J. Functional Analysis, 2, 368-369 (1968) · Zbl 0159.43801 [11] Sard, A., Approximation based on nonscalar observations, J. Approximation Theory J., 8, 315-334 (1973) · Zbl 0272.41006 [12] Sard, A., Instances of generalized splines, (Böhmer, K.; Meinardus, G.; Schempp, W., Spline-Funktionen. Vorträge und Aufsätze (1974), Bibliographisches Institut: Bibliographisches Institut Mannheim/Wien/Zürich), 215-241 · Zbl 0296.41011 [13] Schultz, M. H., Spline Analysis (1973), Prentice-Hall: Prentice-Hall Englewood Cliffs, N.J · Zbl 0333.41009 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.