Informativeness of all the linear functionals in the recovery of functions in the classes $ H_p^\omega$
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Publication:5387142
DOI10.1070/SM2007V198N11ABEH003895zbMath1138.41009MaRDI QIDQ5387142
Sh. Azhgaliev, Nurlan Temirgaliyev
Publication date: 7 May 2008
Published in: Sbornik: Mathematics (Search for Journal in Brave)
Banach spaces of continuous, differentiable or analytic functions (46E15) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)
Related Items (5)
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 ⋮ On the sharp order of informativeness of all possible linear functionals in the discretization of solutions of the wave equation ⋮ 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
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