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Matematicheskie Zametki, 2016, Volume 99, Issue 2, Pages 163–170
DOI: https://doi.org/10.4213/mzm10741 (Mi mzm10741) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Optimal Recovery of Analytic Functions from Boundary Conditions Specified with Error

R. R. Akopianab

a Institute of Mathematics and Computer Science, Ural Federal University, Ekaterinburg
b Ozersk Technology Institute
Full-text PDF (457 kB) Citations (9)
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DOI: https://doi.org/10.4213/mzm10741
Abstract: The problem of optimal recovery of an analytic function from its values specified with error on a part of the boundary is solved, together with related extremal problems.
Keywords: analytic function, optimal recovery, extremal problem.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-02705
Ministry of Education and Science of the Russian Federation 02.A03.21.0006
Received: 02.02.2015
English version:
Mathematical Notes, 2016, Volume 99, Issue 2, Pages 177–182
DOI: https://doi.org/10.1134/S000143461601020X
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: R. R. Akopian, “Optimal Recovery of Analytic Functions from Boundary Conditions Specified with Error”, Mat. Zametki, 99:2 (2016), 163–170; Math. Notes, 99:2 (2016), 177–182
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm10741
  • https://doi.org/10.4213/mzm10741
  • https://www.mathnet.ru/eng/mzm/v99/i2/p163
    • This publication is cited in the following 9 articles:
    1. Mikhail Ovchintsev, D. Rudoy, A.N. Altybaev, M. Petkovich, N. Miletic, “Optimal recovery of the derivate from the confined analytic function”, E3S Web Conf., 583 (2024), 07013  crossref
    2. A. A. Trembach, “Optimalnaya ekstrapolyatsiya mnogochlenov, zadannykh s pogreshnostyu”, Tr. IMM UrO RAN, 30, no. 4, 2024, 265–275  mathnet  crossref  elib
    3. Mikhail Ovchintsev, I. Malygina, “Some addition to the development of mathematical support for transport navigation”, E3S Web Conf., 363 (2022), 01050  crossref
    4. M Ovchintsev, “Some properties of Glisson distances in the upper half-plane”, J. Phys.: Conf. Ser., 2131:3 (2021), 032039  crossref
    5. R. R. Akopyan, “An analogue of the two-constants theorem and optimal recovery of analytic functions”, Sb. Math., 210:10 (2019), 1348–1360  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    6. M. P. Ovchintsev, “About the optimal recovery of derivatives of analytic functions from their values at points that form a regular polygon”, Mathematical Physics and Computer Simulation, 22:4 (2019), 30–38  mathnet  mathnet  crossref
    7. R. R. Akopyan, “Optimal recovery of a derivative of an analytic function from values of the function given with an error on a part of the boundary”, Anal. Math., 44:1 (2018), 3–19  crossref  mathscinet  zmath  isi  scopus
    8. R. R. Akopyan, “Optimalnoe vosstanovlenie analiticheskoi v poluploskosti funktsii po priblizhenno zadannym znacheniyam na chasti granichnoi pryamoi”, Tr. IMM UrO RAN, 24, no. 4, 2018, 19–33  mathnet  crossref  elib
    9. R. R. Akopyan, “Optimal recovery of a function analytic in a disk from approximately given values on a part of the boundary”, Proc. Steklov Inst. Math. (Suppl.), 300, suppl. 1 (2018), 25–37  mathnet  crossref  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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