A particular smooth interpolation that generates splines

Segeth, Karel

Displaying similar documents to “A particular smooth interpolation that generates splines”

A note on tension spline

Segeth, Karel

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Spline theory is mainly grounded on two approaches: the algebraic one (where splines are understood as piecewise smooth functions) and the variational one (where splines are obtained via minimization of quadratic functionals with constraints). We show that the general variational approach called smooth interpolation introduced by Talmi and Gilat covers not only the cubic spline but also the well known tension spline (called also spline in tension or spline with tension). We present the...

A structural theorem of the generalized spline functions.

Branga, Adrian (2009)

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A variational approach to spline functions theory.

Micula, G. (2003)

Rendiconti del Seminario Matematico

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On the two dimensional spline interpolation of Hermite-type.

Puşcaş, Mihaela (2003)

Acta Universitatis Apulensis. Mathematics - Informatics

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Compactly Supported Fundamental Functions for Spline Interpolation.

W. Dahmen, T.N.T. Goodman (1987/88)

Numerische Mathematik

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On spline interpolation at all integer points of the real axis

Isaac J. Schoenberg (1967-1968)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

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A best approximation property of the generalized spline functions.

Branga, Adrian (2008)

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Numerical solution of generalized Abel integral equations by spline functions

R. Smarzewski, H. Malinowski (1983)

Applicationes Mathematicae

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On shape preserving spline interpolation: existence theorems and determination of optimal splines

J. W. Schmidt (1989)

Banach Center Publications

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Complete Spline Smoothing.

Chi Li Hu, Larry L. Schumaker (1986)

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Cubic splines with minimal norm

Jiří Kobza (2002)

Applications of Mathematics

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Natural cubic interpolatory splines are known to have a minimal $L_{2}$ -norm of its second derivative on the $C^{2}$ (or $W_{2}^{2})$ class of interpolants. We consider cubic splines which minimize some other norms (or functionals) on the class of interpolatory cubic splines only. The cases of classical cubic splines with defect one (interpolation of function values) and of Hermite $C^{1}$ splines (interpolation of function values and first derivatives) with spline knots different from the points of interpolation...