An analogue of the two-constants theorem and optimal recovery of analytic functions

DOI10.1070/SM8952zbMath1433.30072OpenAlexW2960163730WikidataQ127590998 ScholiaQ127590998MaRDI QIDQ5207121

Roman Razmikovich Akopyan

Publication date: 7 January 2020

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm8952

zbMATH Keywords

analytic functionsboundary valuessimply connected domaintwo-constants theoremrectifiable Jordan boundary

Mathematics Subject Classification ID

General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Capacity and harmonic measure in the complex plane (30C85) Spaces and algebras of analytic functions of one complex variable (30H99)

Related Items (4)

Optimal recovery on classes of functions analytic in an annulus ⋮ 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 ⋮ Best approximation of differentiation operators on the Sobolev class of functions analytic in a strip ⋮ Analog of the Hadamard theorem and related extremal problems on the class of analytic functions

Cites Work

• Optimal recovery of analytic functions from boundary conditions specified with error
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• Optimal recovery of functionals based on inaccurate data
• Szegö-Kolmogorov-Krein theorems on weighted trigonometrical approximation and Cárleman-type relations
• Best approximation of unbounded operators by bounded ones
• Hadamard and Schwarz type theorems and optimal recovery in spaces of analytic functions
• Best approximation of linear operators
• Best approximations of functionals on certain sets
• Approximation of unbounded operators by bounded operators and related extremal problems
• Constrained extremal problems in $H^2$ and Carleman's formulae
• Optimal recovery of linear operators in non-Euclidean metrics
• On the optimality of linear methods for operator approximation in convex classes of functions
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