Displaying similar documents to “B-spline bases and osculating flats : one result of H.-P. Seidel revisited”

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.

Unconditionality of orthogonal spline systems in H¹

Gegham Gevorkyan, Anna Kamont, Karen Keryan, Markus Passenbrunner (2015)

Studia Mathematica

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We give a simple geometric characterization of knot sequences for which the corresponding orthonormal spline system of arbitrary order k is an unconditional basis in the atomic Hardy space H¹[0,1].