Displaying similar documents to “Reisz Bounds of Wilson Bases Generated by B-Splines.”

On a Theorem of Ingham.

S. Jaffard, M. Tucsnak, E. Zuazua (1997)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

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B-spline bases and osculating flats: One result of H.-P. Seidel revisited

Marie-Laurence Mazure (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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Along with the classical requirements on B-splines bases (minimal support, positivity, normalization) we show that it is natural to introduce an additional “end point property". When dealing with multiple knots, this additional property is exactly the appropriate requirement to obtain the poles of nondegenerate splines as intersections of osculating flats at consecutive knots.

Chebyshevian splines

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...

Quartic X-Splines.

R. Smarzewski, A. Bujalska-Horbowicz (1984)

Numerische Mathematik

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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.