01.01.01 (Real analysis, complex analysis, and functional analysis)
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Keywords:
widths, best method of approximation, Hardy space, Bergman spase, Cauchy type integral, Faber polynomials.
Main publications:
Savchuk V. V., On mean-value theorem for analytic functions, Ukr. Math. J., 1997, 49, No. 8, 1143–1147.
Savchuk V. V., Rate of convergence of the Taylor series for
some classes of analytic functions, Ukr. Math. J., 1998, 50, No. 7, 1141–1144.
Stepanets A. I., Savchuk V. V., Approximation of Cauchy-type integrals, Ukr. Math. J., 2002, 54, No. 5, 869–911.
Savchuk V. V., Best linear methods of proximation of functions of the Hardy class $H_p$, Ukr. Math. J., 2003, 55, No. 7, 1110–1118.
Savchuk V. V., Savchuk M. V., Norms of multipliers and best approximation of holomorphic functions of many variables, Ukr. Math. J., 2003, 55, No. 12, 2025–2037.
Savchuk V. V., Best approximation of reproducing kernels of spaces of analytic functions, Ukr. Math. J., 2004, 56, No. 7, 947–959.
V. P. Zastavnyi, V. V. Savchuk, “Approximation of Classes of Convolutions by Linear Operators of Special Form”, Mat. Zametki, 90:3 (2011), 351–361; Math. Notes, 90:3 (2011), 333–343
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