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Displaying similar documents to “Results on spline-Fourier and Ciesielski-Fourier series”

A note on tension spline

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...

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].