Adaptive sampling recovery of functions with bounded modulus of smoothness

DOI10.1007/s40306-016-0175-yzbMath1358.41023OpenAlexW2345427613MaRDI QIDQ514063

Nguyen Manh Cuong, Mai Xuan Thao

Publication date: 8 March 2017

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-016-0175-y

zbMATH Keywords

Besov-type spacesadaptive sampling recoveryquasi-interpolant representations

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (1)

Quasi-interpolation representation and sampling recovery of multivariate functions

Cites Work

• Erratum to: Optimal adaptive sampling recovery
• Sampling and cubature on sparse grids based on a B-spline quasi-interpolation
• Optimal adaptive sampling recovery
• Non-linear sampling recovery based on quasi-interpolant wavelet representations
• The degree of approximation of sets in euclidean space using sets with bounded Vapnik-Chervonenkis dimension
• On the degree of approximation by manifolds of finite pseudo-dimension
• Box splines
• Spline approximation by quasiinterpolants
• A Natural Formulation of Quasi-Interpolation by Multivariate Splines
• PIECEWISE-POLYNOMIAL APPROXIMATIONS OF FUNCTIONS OF THE CLASSES $ W_{p}^{\alpha}$
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