Estimate of approximate characteristics for classes of functions with bounded mixed derivative

DOI10.1007/BF02304894zbMath0878.46023OpenAlexW2091356743MaRDI QIDQ1922325

Vladimir N. Temlyakov, Boris S. Kashin

Publication date: 11 December 1997

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02304894

zbMATH Keywords

Kolmogorov widthentropy numberspaces of functions of several variables having bounded mixed derivatives

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (10)

Estimates for the entropy numbers of the Nikol'skii–Besov classes of functions with mixed smoothness in the space of quasi‐continuous functions ⋮ Estimation of the entropy numbers and Kolmogorov widths for the Nikol'skii-Besov classes of periodic functions of many variables ⋮ Vector greedy algorithms ⋮ Entropy numbers and widths for the classes \(B_{p,\theta}^r\) of periodic functions of many variables ⋮ On the entropy numbers of the mixed smoothness function classes ⋮ Simultaneous approximation by greedy algorithms ⋮ On a norm and approximate characteristics of classes of multivariable functions ⋮ Approximating characteristics of the classes of periodic multivariate functions in the space \(B_{ \infty , 1} \) ⋮ Nonlinear Kolmogorov widths ⋮ Estimation of some approximating characteristics of the classes of periodic functions of one and many variables

Cites Work

• Approximation of classes of smooth functions of several variables
• Metric entropy and approximation
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