Optimal recovery of functions of classE

                p
              , 1≤P≤∞, in multiply connected domains

M. P. Ovchintsev

doi:10.1007/bf02104874

journal article Mar 01, 1996

Optimal recovery of functions of classE p , 1≤P≤∞, in multiply connected domains

M. P. Ovchintsev

Siberian Mathematical Journal Vol. 37 No. 2 pp. 288-307 · Springer Science and Business Media LLC

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References

16

[1]

S. A. Smolyak, On Optimal Recovery of Functions and Functionals of Them [in Russian], Dis. Kand. Fiz.-Mat. Nauk, Moscow (1966).

[2]

N. S. Bakhvalov, “On optimality of linear methods for approximation of operators on convex classes of functions,” Zh. Vychisl. Matematiki i Mat. Fiziki,11, No. 4, 1014–1018 (1971).

[3]

K. Yu. Osipenko, “Best approximation of analytic functions given information about their values at finitely many points,” Mat. Zametki,19, No. 1, 29–40 (1976).

[4]

S. D. Fisher and C. A. Micchelli, “Then-width of sets of analytic functions,” Duke Math. J.,47, No. 4, 789–801 (1980). 10.1215/s0012-7094-80-04746-8

[5]

M. P. Ovchintsev, “A best approximation method for regular bounded functions in an annulus granted their values at given points,” Izv. Vyssh. Uchebn. Zaved. Matematika, No. 5, 32–39 (1989).

[6]

M. P. Ovchintsev, “To the question of optimally recovering functions in the classE p over an annulus,” Sibirsk. Mat. Zh.,30, No. 4, 87–101 (1989).

[7]

I. I. Privalov, Boundary Properties of Analytic Functions [in Russian], Gostekhizdat, Moscow (1950).

[8]

S. Ya. Khavinson, Factorization of Analytic Functions in Finitely Connected Domains [in Russian], MISI, Moscow (1981).

[9]

M. P. Ovchintsev, “Best approximation methods for bounded analytic functions in multiply connected domains granted their values at finitely many given points,” submitted to VINITI on 1988, No. 8165–88.

[10]

M. P. Ovchintsev, “Best approximation methods for functions in the classE p over multiply connected domains granted their values at finitely many given points,” submitted to VINITI on 1988, No. 8601–88.

[11]

S. Ya. Khavinson, “Extremal problems for some classes of analytic functions over finitely connected domains,” Mat. Sb.,36, No. 3, 445–478 (1955).

[12]

S. Ya. Khavinson, Fundamentals of the Theory of Extremal Problems for Bounded Analytic Functions and Various Generalizations [in Russian], MISI, Moscow (1981).

[13]

G. M. Goluzin, Geometric Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow (1966).

[14]

A. L. Garkavi, “Best approximation theory in normed linear spaces,” in: Mathematical Analysis 1967 [in Russian], VINITI, Moscow (1969).

[15]

I. Singer, Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces, Springer, New York-Berlin (1970). 10.1007/978-3-662-41583-2

[16]

K. Wilderotter, Optimale Algorithmen zur Approximation Analytischer Funktionen, Dissertation, UniversitÄt Bonn (1990).

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Published: Mar 01, 1996
Vol/Issue: 37(2)
Pages: 288-307
License: View

Authors

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M. P. Ovchintsev

Cite This Article

M. P. Ovchintsev (1996). Optimal recovery of functions of classE p , 1≤P≤∞, in multiply connected domains. Siberian Mathematical Journal, 37(2), 288-307. https://doi.org/10.1007/bf02104874

Optimal recovery of functions of classE p , 1≤P≤∞, in multiply connected domains

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