Some properties of the interpolating spline-functions space
R. Zejnullahu (1989)
Matematički Vesnik
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R. Zejnullahu (1989)
Matematički Vesnik
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Yuriy Volkov (2012)
Open Mathematics
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We study the problem of interpolation by a complete spline of 2n − 1 degree given in B-spline representation. Explicit formulas for the first nand the last ncoefficients of B-spline decomposition are found. It is shown that other B-spline coefficients can be computed as a solution of a banded system of an equitype linear equations.
R. Smarzewski, H. Malinowski (1983)
Applicationes Mathematicae
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Jiří Kobza (1991)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Jiří Kobza (1994)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Puşcaş, Mihaela (2003)
Acta Universitatis Apulensis. Mathematics - Informatics
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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...
Stojanović, Mirjana (1988)
Publications de l'Institut Mathématique. Nouvelle Série
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Mirjana Stojanović (1988)
Publications de l'Institut Mathématique
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