Function Values Are Enough for L2-Approximation

We study the L 2 -approximation of functions from a Hilbert space and compare the sampling numbers with the approximation numbers. The sampling number e n is the minimal worst-case error that can be achieved with n function values, whereas the approximation number a n is the minimal worst-case error...

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Vydané v:	Foundations of computational mathematics Ročník 21; číslo 4; s. 1141 - 1151
Hlavní autori:	Krieg, David, Ullrich, Mario
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	New York Springer US 01.08.2021 Springer Nature B.V
Predmet:	Algorithms Applications of Mathematics Approximation Computer Science Economics Hilbert space Linear and Multilinear Algebras Math Applications in Computer Science Mathematical analysis Mathematics Mathematics and Statistics Matrix Theory Numerical Analysis Polynomials Sampling Smoothness Sobolev space approximation Random matrices 41A46 41A25 46E35 Secondary: 41A63 60B20 Sobolev spaces with mixed smoothness Rate of convergence Sampling numbers
ISSN:	1615-3375, 1615-3383
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