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Uspekhi Mat. Nauk, 1996, Volume 51, Issue 6(312), Pages 89–124 (Mi umn1019)  

This article is cited in 71 scientific papers (total in 71 papers)

Approximation of unbounded operators by bounded operators and related extremal problems

V. V. Arestov

Ural State University

DOI: https://doi.org/10.4213/rm1019

Full text: PDF file (406 kB)
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English version:
Russian Mathematical Surveys, 1996, 51:6, 1093–1126

Bibliographic databases:

UDC: 517.518+517.983
MSC: 41A50, 47A52
Received: 12.09.1996

Citation: V. V. Arestov, “Approximation of unbounded operators by bounded operators and related extremal problems”, Uspekhi Mat. Nauk, 51:6(312) (1996), 89–124; Russian Math. Surveys, 51:6 (1996), 1093–1126

Citation in format AMSBIB
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    1. Ganzburg I M., “Sharp Constants of Approximation Theory. II. Invariance Theorems and Certain Multivariate Inequalities of Different Metrics”, Constr. Approx.  crossref  isi
    2. G. G. Magaril-Il'yaev, V. M. Tikhomirov, “Kolmogorov-type inequalities for derivatives”, Sb. Math., 188:12 (1997), 1799–1832  mathnet  crossref  crossref  mathscinet  zmath  isi
    3. A. A. Ilyin, “Best constants in a class of polymultiplicative inequalities for derivatives”, Sb. Math., 189:9 (1998), 1335–1359  mathnet  crossref  crossref  mathscinet  isi  elib
    4. V. V. Arestov, “The best approximation to a class of functions of several variables by another class and related extremum problems”, Math. Notes, 64:3 (1998), 279–294  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    5. S. N. Kudryavtsev, “The Stechkin problem for partial derivation operators on classes of finitely smooth functions”, Math. Notes, 67:1 (2000), 61–68  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    6. Timonov A., “Factorised preconditionings of successive approximations in finite precision”, BIT, 41:3 (2001), 582–598  crossref  mathscinet  zmath  isi  scopus  scopus
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    8. G. G. Magaril-Il'yaev, K. Yu. Osipenko, “Optimal Recovery of Functions and Their Derivatives from Inaccurate Information about the Spectrum and Inequalities for Derivatives”, Funct. Anal. Appl., 37:3 (2003), 203–214  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
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    11. R. R. Akopian, “Kolmogorov's inequality for functions analytic in a half-plane”, Proc. Steklov Inst. Math. (Suppl.), 2005no. , suppl. 2, S1–S8  mathnet  mathscinet  zmath  elib
    12. Timonov, A, “A new iterative procedure for the numerical solution of coefficient inverse problems”, Applied Numerical Mathematics, 54:2 (2005), 280  crossref  mathscinet  zmath  isi  scopus  scopus
    13. G. G. Skorik, “An error estimate for the method of mean functions in the problem of the numerical differentiation of a noisy function”, Russian Math. (Iz. VUZ), 50:2 (2006), 33–39  mathnet  mathscinet  zmath
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    16. S. N. Kudryavtsev, “Approximation and reconstruction of the derivatives of functions satisfying mixed Hölder conditions”, Izv. Math., 71:5 (2007), 895–938  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
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