Optimal recovery of derivatives of bounded analytic and harmonic functions from inaccurate data
Matematičeskie zametki, Tome 53 (1993) no. 5, pp. 87-97.

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K. Yu. Osipenko. Optimal recovery of derivatives of bounded analytic and harmonic functions from inaccurate data. Matematičeskie zametki, Tome 53 (1993) no. 5, pp. 87-97. http://geodesic.mathdoc.fr/item/MZM_1993_53_5_a9/

[1] Marchuk A. G., Osipenko K. Yu., “Nailuchshee priblizhenie funktsii, zadannykh s pogreshnostyu v konechnom chisle tochek”, Matematicheskie zametki, 17:3 (1975), 359–368 | MR | Zbl

[2] Micchelli C. A., Rivlin T. J., “A survey of optimal recovery”, Optimal estimation in approximation theory, Plenum Press, 1977, 1–53 | MR

[3] Gabushin V. N., “Optimalnye metody vychisleniya znachenii operatora $Ux$, esli $x$ zadano s pogreshnostyu. Differentsirovanie funktsii, opredelennykh s oshibkoi”, Trudy MIAN SSSR, 145, Nauka, M., 1980, 63–78 | MR | Zbl

[4] Micchelli C. A., Rivlin T. J., “Lectures on optimal recovery”, Lect. Notes Math., 1129, 1985, 21–93 | MR

[5] Arestov V. V., “Nailuchshee vosstanovlenie operatorov i rodstvennye zadachi”, Trudy MIAN SSSR, 189, Nauka, M., 1989, 3–20 | MR

[6] Micchelli C. A., “On an optimal method for the numerical differentiation of smooth functions”, J. Approx. Theory, 18 (1976), 189–204 | DOI | MR | Zbl

[7] Osipenko K. Yu., Stesin M. I., On some problems of optimal recovery of analytic and harmonic functions from inaccurate data., Preprint, USSR Academy of Sciences. Scientific Council for Cibernetics, Moscow, 1990

[8] Garnett Dzh., Ogranichennye analiticheskie funktsii, Mir, M., 1984 | Zbl

[9] Heins M., “The problem of Milloux for functions analytic thronghout the interior of the unit circle”, Amer. Journ. Math., 67:2 (1945), 212–234 | DOI | MR | Zbl

[10] Khavinson S. Ya., “Teoriya ekstremalnykh zadach dlya ogranichennykh analiticheskikh funktsii, udovletvoryayuschikh dopolnitelnym usloviyam vnutri oblasti”, UMN, 18:2 (1963), 25–98 | MR | Zbl

[11] Akhiezer N. I., Elementy teorii ellipticheskikh funktsii, Nauka, M., 1970 | Zbl

[12] Goluzin G. M., Geometricheskaya teoriya funktsii kompleksnogo peremennogo, Nauka, M., 1966