On the informativeness of linear functionals.

DOI10.1023/A:1024037410770zbMath1059.41012OpenAlexW2165124142MaRDI QIDQ1889480

Sh. Azhgaliev, Nurlan Temirgaliyev

Publication date: 2 December 2004

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

Full work available at URL: https://doi.org/10.1023/a:1024037410770

zbMATH Keywords

numerical integrationFourier coefficientsreconstruction of functionsBesov, Sobolev spaces

Mathematics Subject Classification ID

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

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ON THE LOWER BOUND IN THE PROBLEM OF APPROXIMATE RECONSTRUCTION OF FUNCTIONS BY VALUES OF THE RADON TRANSFORM ⋮ Optimal recovery of functions from numerical information on them and limiting error of the optimal computing unit ⋮ Order estimates of the norms of derivatives of functions with zero values on linear functionals and their applications ⋮ The Radon transform in the scheme of C(N)D-investigations and the quasi-Monte Carlo theory ⋮ Applications of Smolyak quadrature formulas to the numerical integration of Fourier coefficients and in function recovery problems ⋮ Exact orders of computational (numerical) diameters in problems of reconstructing functions and sampling solutions of the Klein-Gordon equation from Fourier coefficients ⋮ Computational (numerical) diameter in a context of general theory of a recovery

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