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JOURNALS // Vladikavkazskii Matematicheskii Zhurnal

Vladikavkaz. Mat. Zh., 2004, Volume 6, Number 4, Pages 55–62 (Mi vmj223)

On the reconstruction of the solution of the Dirichlet problem from inexact initial data
K. Yu. Osipenko

References

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3. Micchelli C. A., Rivlin T. J., “Lectures on Optimal Recovery”, Lecture Notes in Math., 1129, Springer–Verlag, Berlin, 1985, 21–93  mathscinet
4. Magaril-Ilyaev G. G., Osipenko K. Yu., “Ob optimalnom vosstanovlenii funktsionalov po netochnym dannym”, Mat. zametki, 50:6 (1991), 85–93  mathnet  mathscinet
5. Osipenko K. Yu., Optimal Recovery of Analytic Functions, Nova Science Publ., Huntington–New York, 2000, 220 pp.
6. Melkman A. A., Micchelli C. A., “Optimal estimation of linear operators in Hilbert spaces from inaccurate data”, SIAM J. Numer. Anal., 16:1 (1979), 87–105  crossref  mathscinet  zmath
7. Magaril-Ilyaev G. G., Osipenko K. Yu., “Optimalnoe vosstanovlenie funktsii i ikh proizvodnykh po koeffitsientam Fure, zadannym s pogreshnostyu”, Matem. sb., 193:3 (2002), 79–100  mathnet  mathscinet
8. Magaril-Ilyaev G. G., Osipenko K. Yu., “Optimalnoe vosstanovlenie funktsii i ikh proizvodnykh po priblizhennoi informatsii o spektre i neravenstva dlya proizvodnykh”, Funk. anal. i ego pril., 37:3 (2003), 51–64  mathnet  mathscinet
9. Magaril-Ilyaev G. G., Osipenko K. Yu., “Optimalnoe vosstanovlenie proizvodnykh na sobolevskikh klassakh”, Vladikavk. mat. zhurn., 5:1 (2003), 39–47  mathnet  mathscinet
10. Magaril-Il'yaev G. G., Osipenko K. Yu., Tikhomirov V. M., “On optimal recovery of heat equation solutions”, Approximation Theory, A volume dedicated to B. Bojanov, eds. D. K. Dimitrov, G. Nikolov, R. Uluchev, Marin Drinov Academic Publishing House, Sofia, 2004, 163–175  mathscinet


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