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Exact values of \(n\)-widths and optimal quadratures on classes of bounded analytic and harmonic functions

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Publication:1894651
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DOI10.1006/jath.1995.1073zbMath0834.41021OpenAlexW2060471084MaRDI QIDQ1894651

Konstantin Yu. Osipenko

Publication date: 6 August 1995

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1995.1073



Mathematics Subject Classification ID

Approximation by arbitrary nonlinear expressions; widths and entropy (41A46) Approximations and expansions (41A99)


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New lower bound estimates for quadratures of bounded analytic functions ⋮ Optimal quadrature problem on classes defined by kernels satisfying certain oscillation properties ⋮ Comparison theorems of Kolmogorov type and exact values of 𝑛-widths on Hardy–Sobolev classes ⋮ Optimal quadrature problem on Hardy-Sobolev classes




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