Sampling discretization of integral norms of the hyperbolic cross polynomials

DOI10.1134/S0081543821010181zbMath1466.62331arXiv2005.05967OpenAlexW3159715290WikidataQ115526004 ScholiaQ115526004MaRDI QIDQ828607

Vladimir N. Temlyakov

Publication date: 5 May 2021

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.05967

zbMATH Keywords

multivariate trigonometric polynomialssampling discretization

Mathematics Subject Classification ID

Characterization and structure theory for multivariate probability distributions; copulas (62H05) Sampling theory, sample surveys (62D05) Approximation by polynomials (41A10)

Related Items

Approximation of functions with small mixed smoothness in the uniform norm, Sampling discretization and related problems, Sampling discretization of integral norms and its application, Remarks on sampling discretization of integral norms of functions, Bounds on Kolmogorov widths and sampling recovery for classes with small mixed smoothness, Marcinkiewicz-type discretization of \(L^p\)-norms under the Nikolskii-type inequality assumption

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