Approximation of Sobolev classes by their finite-dimensional sections

DOI10.1023/A:1020547320561zbMath1019.41019MaRDI QIDQ1810198

V. N. Konovalov

Publication date: 15 June 2003

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

zbMATH Keywords

Kolmogorov widthapproximation of Sobolev classesrelative \(n\)-width of a function classSobolev class of periodic functionswidth of a function data

Mathematics Subject Classification ID

Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (9)

Relative \(n\)-widths of periodic convolution classes with NCVD-kernel and B-kernel ⋮ Relative widths of Sobolev classes in the uniform and integral metrics ⋮ Relative average widths of Sobolev spaces in \(L_2({\mathbb R}^d)\) ⋮ Relative widths of smooth functions determined by fractional order derivatives ⋮ Relative widths of the function classes \(L_2(T)\) defined by a linear differential operator in \(L_q(T)\) ⋮ Relative infinite-dimensional width of Sobolev classes ⋮ THE RESEARCH PROGRESS OF BNU GROUP ON RELATIVE WIDTHS ⋮ Relative widths of smooth functions determined by linear differential operator ⋮ The relative \(n\)-widths of Sobolev classes with restrictions

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