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On optimal recovery methods in Hardy-Sobolev spaces

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Publication:2759302
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DOI10.1070/SM2001V192N02ABEH000543zbMath1017.41024OpenAlexW2107491327MaRDI QIDQ2759302

Konstantin Yu. Osipenko

Publication date: 3 January 2002

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2001v192n02abeh000543


zbMATH Keywords

Hardy-Sobolev spaceoptimal recoveryinformation functional


Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Approximation in the complex plane (30E10) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)


Related Items (5)

Optimal recovery on classes of functions analytic in an annulus ⋮ Comparison theorems of Kolmogorov type and exact values of 𝑛-widths on Hardy–Sobolev classes ⋮ Best approximation methods and widths for some classes of functions in \(H_{q,\rho}\), \(1 \leq q\leq\infty\), \(0 < \rho\leq 1\) ⋮ Optimal recovery of linear functionals on sets of finite dimension ⋮ Analog of the Hadamard theorem and related extremal problems on the class of analytic functions







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