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Russian Mathematical Surveys, 1996, Volume 51, Issue 6, Pages 1093–1126
DOI: https://doi.org/10.1070/RM1996v051n06ABEH003001
(Mi rm1019)
 

This article is cited in 103 scientific papers (total in 103 papers)

Approximation of unbounded operators by bounded operators and related extremal problems

V. V. Arestov

Ural State University
References:
Received: 12.09.1996
Bibliographic databases:
Document Type: Article
UDC: 517.518+517.983
MSC: 41A50, 47A52
Language: English
Original paper language: Russian
Citation: V. V. Arestov, “Approximation of unbounded operators by bounded operators and related extremal problems”, Russian Math. Surveys, 51:6 (1996), 1093–1126
Citation in format AMSBIB
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\by V.~V.~Arestov
\paper Approximation of unbounded operators by bounded operators and related extremal problems
\jour Russian Math. Surveys
\yr 1996
\vol 51
\issue 6
\pages 1093--1126
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\crossref{https://doi.org/10.1070/RM1996v051n06ABEH003001}
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Linking options:
  • https://www.mathnet.ru/eng/rm1019
  • https://doi.org/10.1070/RM1996v051n06ABEH003001
  • https://www.mathnet.ru/eng/rm/v51/i6/p89
  • This publication is cited in the following 103 articles:
    1. R. R. Akopyan, V. V. Arestov, V. G. Timofeev, “Stechkin's Problem on the Approximation of the Differentiation Operator in the Uniform Norm on the Half-Line”, Math. Notes, 115:6 (2024), 853–867  mathnet  crossref  crossref  mathscinet
    2. V. V. Arestov, “Variant zadachi Stechkina o nailuchshem priblizhenii operatora differentsirovaniya drobnogo poryadka na osi”, Tr. IMM UrO RAN, 30, no. 4, 2024, 37–54  mathnet  crossref  elib
    3. A. A. Trembach, “Optimalnaya ekstrapolyatsiya mnogochlenov, zadannykh s pogreshnostyu”, Tr. IMM UrO RAN, 30, no. 4, 2024, 265–275  mathnet  crossref  elib
    4. V. V. Arestov, “A Variant of Stechkin's Problem on the Best Approximation of a Fractional Order Differentiation Operator on the Axis”, Proc. Steklov Inst. Math., 327:S1 (2024), S10  crossref
    5. 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  mathnet  crossref  crossref  mathscinet  isi  elib
    6. Vitalii V. Arestov, “Approximation of differentiation operators by bounded linear operators in lebesgue spaces on the axis and related problems in the spaces of (p,q)-multipliers and their predual spaces”, Ural Math. J., 9:2 (2023), 4–27  mathnet  crossref
    7. V. V. Arestov, “Predual Spaces for the Space of (p, q)-Multipliers and Their Application in Stechkin's Problem on Approximation of Differentiation Operators”, Anal Math, 49:1 (2023), 43  crossref
    8. R. R. Akopyan, “Optimal recovery of a function holomorphic in a polydisc from its approximate values on a part of the skeleton”, Siberian Adv. Math., 33:4 (2023), 261–277  mathnet  crossref  crossref
    9. Vladyslav Babenko, Vira Babenko, Oleg Kovalenko, “Korneichuk-Stechkin Lemma, Ostrowski and Landau Inequalities, and Optimal Recovery Problems for L-Space Valued Functions”, Numerical Functional Analysis and Optimization, 44:12 (2023), 1309  crossref
    10. K. Yu. Osipenko, “Optimal recovery in weighted spaces with homogeneous weights”, Sb. Math., 213:3 (2022), 385–411  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    11. P. Yu. Glazyrina, N. S. Payuchenko, “O neravenstve Kolmogorova dlya pervoi i vtoroi proizvodnykh na osi i periode”, Tr. IMM UrO RAN, 28, no. 2, 2022, 84–95  mathnet  crossref  mathscinet  elib
    12. V. M. Tikhomirov, “Three Stages in the Development of Approximation Theory”, Proc. Steklov Inst. Math., 319 (2022), 1–12  mathnet  crossref  crossref  mathscinet
    13. Dmytro Skorokhodov, “The Landau–Kolmogorov problem on a finite interval in the Taikov case”, Journal of Approximation Theory, 280 (2022), 105771  crossref
    14. Vladyslav Babenko, Oleg Kovalenko, Nataliia Parfinovych, “On approximation of hypersingular integral operators by bounded ones”, Journal of Mathematical Analysis and Applications, 513:2 (2022), 126215  crossref
    15. P. G. Surkov, “Real-Time Calculation of a Caputo Fractional Derivative from Noisy Data. The Case of Continuous Measurements”, Proc. Steklov Inst. Math. (Suppl.), 315, suppl. 1 (2021), S225–S235  mathnet  crossref  crossref  isi  elib
    16. R. R. Akopyan, “Nailuchshee priblizhenie operatorov differentsirovaniya na klasse Soboleva analiticheskikh v polose funktsii”, Sib. elektron. matem. izv., 18:2 (2021), 1286–1298  mathnet  crossref
    17. Babenko V., Babenko Yu., Kriachko N., Skorokhodov D., “On Hardy-Littlewood-Polya and Taikov Type Inequalities For Multiple Operators in Hilbert Spaces”, Anal. Math., 47:4 (2021), 709–745  crossref  isi
    18. N. S. Payuchenko, “Reduktsiya neravenstva Kolmogorova dlya polozhitelnoi srezki vtoroi proizvodnoi na osi k neravenstvu dlya vypuklykh funktsii na otrezke”, Sib. elektron. matem. izv., 18:2 (2021), 1625–1638  mathnet  crossref
    19. Osipenko K.Yu., “Inequalities For Derivatives With the Fourier Transform”, Appl. Comput. Harmon. Anal., 53 (2021), 132–150  crossref  isi
    20. Surkov P.G., “Approximate Calculation of the Caputo-Type Fractional Derivative From Inaccurate Data. Dynamical Approach”, Fract. Calc. Appl. Anal., 24:3 (2021), 895–922  crossref  isi
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