Citation:
V. V. Arestov, “Approximation of unbounded operators by bounded operators and related extremal problems”, Russian Math. Surveys, 51:6 (1996), 1093–1126
\Bibitem{Are96}
\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:
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This publication is cited in the following 103 articles:
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
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
A. A. Trembach, “Optimalnaya ekstrapolyatsiya mnogochlenov, zadannykh s pogreshnostyu”, Tr. IMM UrO RAN, 30, no. 4, 2024, 265–275
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
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
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
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
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
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
K. Yu. Osipenko, “Optimal recovery in weighted spaces with homogeneous weights”, Sb. Math., 213:3 (2022), 385–411
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
V. M. Tikhomirov, “Three Stages in the Development of Approximation Theory”, Proc. Steklov Inst. Math., 319 (2022), 1–12
Dmytro Skorokhodov, “The Landau–Kolmogorov problem on a finite interval in the Taikov case”, Journal of Approximation Theory, 280 (2022), 105771
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
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
R. R. Akopyan, “Nailuchshee priblizhenie operatorov differentsirovaniya na klasse Soboleva analiticheskikh v polose funktsii”, Sib. elektron. matem. izv., 18:2 (2021), 1286–1298
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
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
Osipenko K.Yu., “Inequalities For Derivatives With the Fourier Transform”, Appl. Comput. Harmon. Anal., 53 (2021), 132–150
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