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Literature cited
L. V. Taikov, “Widths of certain classes of analytic functions,” Mat. Zametki,22, No. 2, 285–295 (1977).
L. V. Taikov and N. Ainulloev, “Best approximation in the sense of Kolmogorov of classes of analytic functions in the unit disk,” ibid.,40, No. 3, 341–351 (1986).
N. Ainulloev, “Widths of classes of analytic functions in the unit disk,” in: Geometric Questions of Theory of functions and Sets [in Russian], Kalinin (1986), pp. 91–101.
F. L. Duren, Theory of Hp Spaces, Academic Press, New York-London (1970).
N. P. Korneichuk, Extremal Problems of Approximation Theory [in Russian], Nauka, Moscow (1976).
N. I. Chernykh, “On the best approximation of periodic functions by trigonometric polynomials in L2,” Mat. Zametki,2, No. 5, 513–522 (1967).
V. I. Smirnov and N. A. Lebedev, Constructive Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow-Leningrad (1964).
M. Z. Dveirin and I. V. Chebanenko, “On the polynomial approximation in Banach spaces of analytic functions,” in: Theory of Mappings and Approximation of Functions [in Russian], Naukova Dumka, Kiev (1983), pp. 62–73.
N. Ainulloev, “Value of the widths of certain classes of differentiable functions in L2,” Dokl. Akad. Nauk Tadzh. SSR,27, No. 8, 415–418 (1984).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 6, pp. 799–803, June, 1989.
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Vakarchuk, S.B. Widths of certain classes of analytic functions in the Hardy space H2 . Ukr Math J 41, 686–689 (1989). https://doi.org/10.1007/BF01060570
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DOI: https://doi.org/10.1007/BF01060570