Decomposition and approximation of multivariate functions on the cube

DOI10.1007/s10114-012-1014-2zbMath1260.42026OpenAlexW2097397680MaRDI QIDQ1942654

Zhi Hua Zhang

Publication date: 19 March 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-012-1014-2

zbMATH Keywords

projection operatorapproximation of multivariate functionsfundamental polynomialdecomposition of multivariate functionsclassification of boundary points

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15)

Cites Work

• Multivariate approximation theory IV. Proceedings of the conference at the Mathematical Reseach Institute at Oberwolfach, Black Forest, FRG, February 12-18, 1989
• Approximation induced by a Fourier series
• Converse theorems for multidimensional Kantorovich operators
• Weighted approximation by multidimensional Bernstein operators
• Convergence and Gibbs phenomenon of periodic wavelet frame series
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• On multipliers preserving convergence of trigonometric series almost everywhere
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