Heins' problem and optimal extrapolation of analytic functions prescribed with an error
Sbornik. Mathematics, Tome 54 (1986) no. 2, pp. 551-559 Cet article a éte moissonné depuis la source Math-Net.Ru

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This paper considers the Heins problem and its relation to problems of recovering analytic functions prescribed with an error. Bibliography: 14 titles.
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K. Yu. Osipenko. Heins' problem and optimal extrapolation of analytic functions prescribed with an error. Sbornik. Mathematics, Tome 54 (1986) no. 2, pp. 551-559. http://geodesic.mathdoc.fr/item/SM_1986_54_2_a13/

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[9] Karlin S., Oscillatory perfect spolines and related extremum problems. Studies in spline functions and approximation theory, Acad. Press, N.Y., 1976, p. 371–460 | MR

[10] Pinkus A., “Some extremal properties of perfect splines and the pointwise Landau problem on the finite interval”, J. Approxim. Theory, 23:1 (1979), 37–67 | DOI | MR

[11] Rivlin T. J., “A survey of recent results on optimal recovery. Polynom and spline approximat”, Proc. NATO Adv. Study Inst, Calgary, 1978, Dordrecht e.a., 1979, 225– 245 | MR | Zbl

[12] Osipenko K. Yu., “Nailuchshie metody priblizheniya analiticheskikh funktsii, zadannykh s pogreshnostyu”, Matem. sb., 118(160) (1982), 350–370 | MR | Zbl

[13] Osipenko K. Yu., “Optimalnaya interpolyatsiya analiticheskikh funktsii”, Matem. zametki, 12:4 (1972), 465–476 | MR | Zbl

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