Spline bases in classical function spaces on compact manifolds, Part II
Z. Ciesielski, T. Figiel (1983)
Studia Mathematica
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Displaying similar documents to “Approximation by spline interpolating bases”
Spline bases in classical function spaces on compact manifolds, Part II
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Multivariate spline functions, B-spline bases and polynomial interpolations II
Hakop Hakopian (1984)
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Spline functions and total positivity.
M. Gasca (1996)
Revista Matemática de la Universidad Complutense de Madrid
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In this survey we show the close connection between the theory of Spline Functions and that of Total Positivity. In the last section we mention some recent results on totally positive bases which are optimal for shape preserving properties in Computer Aided Geometric Design.
Spline approximation in , p≤ 1
P. Oswald (1985)
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Adjoint domains and generalized splines
Richard C. Brown (1975)
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Interpolating and smoothing biquadratic spline
Radek Kučera (1995)
Applications of Mathematics
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The paper deals with the biquadratic splines and their use for the interpolation in two variables on the rectangular mesh. The possibilities are shown how to interpolate function values, values of the partial derivative or values of the mixed derivative. Further, the so-called smoothing biquadratic splines are defined and the algorithms for their computation are described. All of these biquadratic splines are derived by means of the tensor product of the linear spaces of the quadratic...