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Approximation to functions of a complex variable on arcs

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    V. K. Dzyadyk, “The theory of approximation to functions on closed sets in the complete plane (on a problem of S. M. Nikol'skii),” Tr. Mat. Inst. Akad. Nauk SSSR,134, 63–114 (1975).

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    D. J. Newman, “Jackson's theorem on complex arcs,” J. Approx.,10, No. 3, 206–217 (1974).

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    V. K. Dzyadyk, “Converse theorems on approximation to functions on complex regions,” Ukr. Mat. Zh.,15, No. 4, 365–375 (1963).

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    A. I. Markushevich, Theory of Analytic Functions [inRussian], Vol. 2, Nauka, Moscow (1968), p. 624.

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    V. K. Dzyadyk and G. A. Alibekov, “Uniform approximation to functions of a complex variable on closed sets with angles,” Mat. Sb. Nov. Ser.,75, No. 4, 502–557 (1968).

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    W. F. Osgood and E. H. Taylor, “Conformal transformations on the boundaries of their regions of definition,” Trans. Am. Math. Soc.,14, 277–298 (1913).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 29, No. 2, pp. 254–259, March–April, 1977.

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Dzyadyk, V.K. Approximation to functions of a complex variable on arcs. Ukr Math J 29, 193–196 (1977). https://doi.org/10.1007/BF01089249

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Keywords

  • Complex Variable