Marcinkiewicz-Zygmund-type inequalities, trigonometric interpolation on non-uniform grids and unconditional Schauder bases in Besov spaces on the torus

DOI10.4171/ZAA/784zbMath0917.42003MaRDI QIDQ1368788

Winfried Sickel, Konstantin V. Runovski

Publication date: 27 July 1999

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

trigonometric interpolationBesov spacesnon-uniform gridsunconditional Schauder basesMarcinkiewicz-Zygmund-type inequalities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Trigonometric interpolation (42A15) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (2)

On the stability of unevenly spaced samples for interpolation and quadrature ⋮ Sampling, Marcinkiewicz-Zygmund inequalities, approximation, and quadrature rules

Cites Work

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• Construction of an orthonormal basis in $C^{m}(I^{d})$ and $W^{m}_{p}(I^{d})$
• On the best values of the constants in the theorem of M. Riesz, Zygmund and Kolmogorov

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