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Unconditionality of orthogonal spline systems in H¹

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

Studia Mathematica

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].

Universally optimal approximation of functionals

Milan Práger (1979)

Aplikace matematiky

A universal optimal in order approximation of a general functional in the space of continuous periodic functions is constructed and its fundamental properties and some generalizations are investigated. As an application the approximation of singular integrals is considered and illustrated by numerical results.

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