Optimal recovery and extremum theory

DOI10.1007/BF03321011zbMath1025.41014OpenAlexW2061731648MaRDI QIDQ1409778

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

Publication date: 22 October 2003

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321011

zbMATH Keywords

Hardy spacesLagrange principleoptimal recovery

Mathematics Subject Classification ID

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

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Using Lagrange principle for solving two-dimensional integral equation with a positive kernel ⋮ The Lagrange principle in the problem of optimal inversion of linear operators in finite-dimensional spaces with a priori information about its solution ⋮ Optimal recovery of functions analytical in a half-plane

Cites Work

• Optimal recovery of operators, and related problems
• Best approximation of analytic functions from information about their values at a finite number of points
• An Extremal Problem for Analytic Functions With Prescribed Zeros and rth Derivative in H ∞
• On the precise values ofn-widths for classes defined by cyclic variation diminishing operators
• One-mode interacting Fock spaces and random walks on graphs
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