Quartic X-Splines.
R. Smarzewski, A. Bujalska-Horbowicz (1984)
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R. Smarzewski, A. Bujalska-Horbowicz (1984)
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W. Dahmen, T.N.T. Goodman (1987/88)
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Zygmunt Wronicz (1985)
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Chi Li Hu, Larry L. Schumaker (1986)
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M.E.A. El Tom (1979)
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C. Dagnino, A. Palamara Orsi (1987/88)
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TH.R. LUCAS (1970)
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Zygmunt Wronicz
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CONTENTSIntroduction...........................................................................................................5I. Canonical complete Chebyshev systems 1. Canonical complete Chebyshev systems.......................................................7 2. Interpolation by generalized polynomials and divided differences................12 3. The Markov inequality for generalized polynomials......................................16II. Chebyshevian splines 1. Basic...
N.S. Sapidis, P.D. Kaklis, T.A. Loukakis (1989)
Numerische Mathematik
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Segeth, Karel
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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...