Best approximation of a differentiation operator on the set of smooth functions with exactly or approximately given Fourier transform

DOI10.1007/978-3-030-22629-9_30zbMath1444.41007OpenAlexW2950767786MaRDI QIDQ2181779

Vitalii Arestov

Publication date: 19 May 2020

Full work available at URL: https://doi.org/10.1007/978-3-030-22629-9_30

zbMATH Keywords

Kolmogorov inequalityfunctions with exactly or approximately given Fourier transformoptimal differentiation method

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Best approximation, Chebyshev systems (41A50) Approximation by operators (in particular, by integral operators) (41A35)

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Optimal recovery in weighted spaces with homogeneous weights ⋮ Predual spaces for the space of \((p, q)\)-multipliers and their application in Stechkin's problem on approximation of differentiation operators ⋮ Uniform approximation of differentiation operators by bounded linear operators in the space \(L_r\) ⋮ Optimal recovery of a derivative of an analytic function from values of the function given with an error on a part of the boundary. II ⋮ On the construction of families of optimal recovery methods for linear operators ⋮ Analog of the Hadamard theorem and related extremal problems on the class of analytic functions

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