A best approximation property of the generalized spline functions.
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A Class of Multidimensional Periodic Splines.
Willi Freeden, Richard Reuter (1981)
Manuscripta mathematica
A Direct Algorithm for Optimal Quadratic Splines.
Lakshman S. Thakur (1990)
Numerische Mathematik
A Dual Algorithm for Convex-Concave Data Smoothing by Cubic C2-Splines.
Jochen W. Schmidt, Isa Scholz (1990)
Numerische Mathematik
A fundamental property of -splines.
Branga, Adrian (1996)
General Mathematics
A General framework for local interpolation.
Charles K:, Diamond, Harvey Chui (1990/1991)
Numerische Mathematik
A heuristic algorithm for constructing optimal lookup tables in circuit design.
Shen, Bing, Szidarovszky, Ferenc (1997)
Southwest Journal of Pure and Applied Mathematics [electronic only]
A limit theorem for one-parameter alteration of two knots of B-spline curves.
Hoffmann, Miklós, Juhász, Imre (2005)
Annales Mathematicae et Informaticae
A Method for Computing the Tension Parameters in Convexity-Preserving Spline-in-Tension Interpolation.
N.S. Sapidis, P.D. Kaklis, T.A. Loukakis (1989)
Numerische Mathematik
A method of approximation of Besov spaces
Jan Kowalski (1990)
Studia Mathematica
A new proof of some inequality connected with quadratures.
Wasowicz, Szymon (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
A numerical method for solution of semidifferential equations
Mohammad H. Hamarsheh, E. A. Rawashdeh (2010)
Matematički Vesnik
A particular smooth interpolation that generates splines
Segeth, Karel (2017)
Programs and Algorithms of Numerical Mathematics
There are two grounds the spline theory stems from - the algebraic one (where splines are understood as piecewise smooth functions satisfying some continuity conditions) and the variational one (where splines are obtained via minimization of some quadratic functionals with constraints). We use the general variational approach called smooth interpolation introduced by Talmi and Gilat and show that it covers not only the cubic spline and its 2D and 3D analogues but also the well known tension spline...
A quadratic spline-wavelet basis on the interval
Černá, Dana, Finěk, Václav, Šimůnková, Martina (2013)
Programs and Algorithms of Numerical Mathematics
In signal and image processing as well as in numerical solution of differential equations, wavelets with short support and with vanishing moments are important because they have good approximation properties and enable fast algorithms. A B-spline of order is a spline function that has minimal support among all compactly supported refinable functions with respect to a given smoothness. And recently, B. Han and Z. Shen constructed Riesz wavelet bases of with vanishing moments based on B-spline...
A Remez Type Algorithm for Spline Functions
G. Nürnberger, M. Sommer (1983)
Numerische Mathematik
A Simple Rational Spline and its Application to Monotonic Interpolation to Monotonic Data.
Manabu Sakai, M.C. de López de Silanes (1986/1987)
Numerische Mathematik
A Three-Dimensional Quadratic Nonconforming Element.
M. Fortin (1985)
Numerische Mathematik
A variational approach to spline functions theory.
Micula, G. (2003)
Rendiconti del Seminario Matematico
A variational approach to spline functions theory.
Micula, Gheorghe (2002)
General Mathematics
Ajustement spline le long d'un ensemble de courbes
D. Apprato, R. Arcangéli (1991)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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