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Best approximation in the sense of Kolmogorov of classes of functions analytic in the unit disc

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Literature cited

  1. A. N. Kolmogorov, “über die beste AnnÄherung von Funktionen linear gegebenen Funktionklassen,” Ann. Math.,37, 107–111 (1936).

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  2. L. V. Taikov, “Diameters of certain classes of analytic functions,” Mat. Zametki,22, No. 2, 285–294 (1977).

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  3. V. M. Tikhomirov, “Diameters of sets in function spaces and the theory of best approximations,” Usp. Mat. Nauk,15, No. 3, 81–120 (1960).

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  4. L. V. Taikov, “Best approximations of differentiable functions in the metric of the space L2,” Mat. Zametki,22, No. 4, 535–542 (1977).

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Authors and Affiliations

  1. T. G. Shevchenko Dushanbin State Pedagogic Institute, USSR

    N. Ainulloev & L. V. Taikov

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  1. N. Ainulloev
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  2. L. V. Taikov
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Translated from Matematicheskie Zametki, Vol. 40, No. 3, pp. 341–351, September, 1986.

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Ainulloev, N., Taikov, L.V. Best approximation in the sense of Kolmogorov of classes of functions analytic in the unit disc. Mathematical Notes of the Academy of Sciences of the USSR 40, 699–705 (1986). https://doi.org/10.1007/BF01142473

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  • DOI: https://doi.org/10.1007/BF01142473

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