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Scheffold, Egon; Schlosser, Karl-Heinz

Spline-Funktionen mehrerer Veränderlicher. (German) Zbl 0412.41005

J. Approximation Theory 23, 242-260 (1978).
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Cited in 1 Document

MSC:

41A15 Spline approximation

Keywords:

spline interpolation; spline spaces

Citations:

Zbl 0294.41013; Zbl 0291.41009
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Full Text: DOI

References:

[1] Bartle, R. G., The Elements of Integration (1966), Wiley: Wiley New York/London/Sydney · Zbl 0146.28201
[2] 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
[3] H. W. Kösters and K.-H. Schlosser; H. W. Kösters and K.-H. Schlosser
[4] Mansfield, L., On the variational characterization and convergence of bivariate splines, Numer. Math., 20, 99-114 (1972) · Zbl 0233.65005
[5] Mansfield, L., Optimal approximation and error bounds in spaces of bivariate functions, J. Approximation Theory, 5, 77-96 (1972) · Zbl 0247.41012
[6] Mansfield, L., On the optimal approximation of linear functionals in spaces of bivariate functions, SIAM J. Numer. Anal., 8, 115-126 (1971) · Zbl 0219.65024
[7] Mansfield, L., On the variational approach to defining splines on \(L\)-shaped regions, J. Approximation Theory, 5, 99-112 (1974) · Zbl 0291.41010
[8] Nelson, G. M., Bivariate spline functions and the approximation of linear functionals, Numer. Math., 21, 138-160 (1973) · Zbl 0251.41004
[9] Ritter, W., Two dimensional spline functions and best approximations of linear functionals, J. Approximation Theory, 3, 352-368 (1970) · Zbl 0203.37001
[10] Sard, A., Approximation based on nonscalar observations, J. Approximation Theory, 8, 315-334 (1973) · Zbl 0272.41006
[11] Sard, A., Linear Approximation (1963), Amer. Math. Soc: Amer. Math. Soc Providence, R.I · Zbl 0115.05403
[12] Scheffold, E., Das Spline-Problem als ein Approximationsproblem, J. Approximation Theory, 12, 265-282 (1974) · Zbl 0291.41009
[13] Scheffold, E., Eine abstrakte Spline-Theorie, (Böhmer, K.; Meinardus, G.; Schempp, W., Spline-Funktionen. Vorträge und Aufsätze (1974), Bibliographisches Institut: Bibliographisches Institut Mannheim-Wien-Zürich), 257-274 · Zbl 0294.41013
[14] Schempp, W., On spaces of distributions related to Schoenberg’s approximation theorem, Math. Z., 114, 340-348 (1970) · Zbl 0187.37803
[15] Schlosser, K.-H, Zur mehrdimensionalen Spline-Interpolation, Dissertation, 79 (1974), Bochum
[16] Schlosser, K.-H, Mehrdimensionale Spline-Interpolation mittels Spline-Systemen, Z. Angew. Math. Mech., 55, T260-T262 (1975) · Zbl 0304.65009
[17] K.-H. Schlosser; K.-H. Schlosser · Zbl 0315.41007
[18] Schoenberg, I. J., On best approximations of linear operators, Nederl. Akad. Wetensch. Indag. Math., 26, 155-163 (1964) · Zbl 0146.08501
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