Exactness and optimality of methods for recovering functions from their spectrum

DOI10.1134/S0081543816040143zbMath1357.49096MaRDI QIDQ338498

Konstantin Yu. Osipenko, Gregorij G. Magaril-Il'yaev

Publication date: 7 November 2016

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Optimality conditions for minimax problems (49K35) Optimality conditions for problems in abstract spaces (49K27)

Related Items (4)

On optimal recovery of values of linear operators from information known with a stochastic error ⋮ Optimal recovery methods exact on trigonometric polynomials for the solution of the heat equation ⋮ Predual spaces for the space of \((p, q)\)-multipliers and their application in Stechkin's problem on approximation of differentiation operators ⋮ Optimal recovery methods for solutions of the Dirichlet problem that are exact on subspaces of spherical harmonics

Cites Work

• On optimal harmonic synthesis from inaccurate spectral data
• Hardy-Littlewood-Paley inequality and recovery of derivatives from inaccurate data
• Optimal recovery of operators, and related problems
• Optimal recovery of functions and their derivatives from inaccurate information about the spectrum and inequalities for derivatives
• Kolmogorov-type inequalities for derivatives
• Optimal Estimation of Linear Operators in Hilbert Spaces from Inaccurate Data
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