R. R. Akopyan, “Best approximation for the analytic continuation operator on the class of analytic functions in a ring”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 4, 2012, 3

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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 4, Pages 3–13 (Mi timm862)

This article is cited in 7 scientific papers (total in 7 papers)

Best approximation for the analytic continuation operator on the class of analytic functions in a ring

R. R. Akopyan^ab

^a Ozersk Technology Institute
^b Ural Federal University

Full-text PDF (184 kB) Citations (7)

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Abstract: For classes of functions analytic in a ring (a disk), we study several extremal problems related to the analytic continuation operator: the best approximation of an operator, an optimal reconstruction of an operator from boundary values of a function on the circle given with an error, and the best approximation of one class of functions by another class.

Keywords: approximation of operators, analytic functions.

Received: 04.07.2012

Bibliographic databases:

Document Type: Article

UDC: 517.977

Language: Russian

Citation: R. R. Akopyan, “Best approximation for the analytic continuation operator on the class of analytic functions in a ring”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 4, 2012, 3–13

Citation in format AMSBIB

\Bibitem{Ako12}

\by R.~R.~Akopyan

\paper Best approximation for the analytic continuation operator on the class of analytic functions in a~ring

\serial Trudy Inst. Mat. i Mekh. UrO RAN

\yr 2012

\vol 18

\issue 4

\pages 3--13

\mathnet{http://mi.mathnet.ru/timm862}

\elib{https://elibrary.ru/item.asp?id=18126463}

Linking options:

https://www.mathnet.ru/eng/timm862

https://www.mathnet.ru/eng/timm/v18/i4/p3

This publication is cited in the following 7 articles:

O. V. Akopyan, R. R. Akopyan, “Optimal Recovery on Classes of Functions Analytic in an Annulus”, Proc. Steklov Inst. Math. (Suppl.), 321, suppl. 1 (2023), S4–S19
V. V. Arestov, R. R. Akopyan, “Zadacha Stechkina o nailuchshem priblizhenii neogranichennogo operatora ogranichennymi i rodstvennye ei zadachi”, Tr. IMM UrO RAN, 26, no. 4, 2020, 7–31
R. R. Akopyan, “Analog of the Hadamard Theorem and Related Extremal Problems on the Class of Analytic Functions”, Proc. Steklov Inst. Math. (Suppl.), 315, suppl. 1 (2021), S13–S26
R. R. Akopyan, “Approximation of Derivatives of Analytic Functions from One Hardy Class by Another Hardy Class”, Proc. Steklov Inst. Math. (Suppl.), 308, suppl. 1 (2020), S1–S8
Roman R. Akopyan, “Approximation of the differentiation operator on the class of functions analytic in an annulus”, Ural Math. J., 3:2 (2017), 6–13
R. R. Akopian, “Optimal Recovery of Analytic Functions from Boundary Conditions Specified with Error”, Math. Notes, 99:2 (2016), 177–182
R. R. Akopian, “Optimal recovery of an analytic function in a doubly connected domain from its approximately given boundary values”, Proc. Steklov Inst. Math. (Suppl.), 296, suppl. 1 (2017), 13–18

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Trudy Instituta Matematiki i Mekhaniki UrO RAN

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