Abstract
One proves that an approximation estimate, given by V. V. Andrievskii, cannot be improved in a special domain.
Similar content being viewed by others
Literature cited
V. V. Andrievskii, “The constructive description of classes of functions on the continua of the complex plane, taking into account the growth of the approximation polynomials,” Preprint Inst. Mat. Akad. Nauk UkrSSR, No. 12, Kiev (1983).
N. A. Lebedev and N. A. Shirokov, “On the uniform approximation of functions on closed sets that have a finite number of angular points with nonzero exterior angles,” Izv. Akad. Nauk SSSR, Ser. Mat.,6, No. 4, 311–341 (1971).
E. M. Dyn'kin, “Estimates of analytic functions in Jordan domains,” J. Sov. Math.,34, No. 6 (1986).
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 149, pp. 177–180, 1986.
Rights and permissions
About this article
Cite this article
Shirokov, N.A. A remark on a theorem of V. V. Andrievskii. J Math Sci 42, 1665–1667 (1988). https://doi.org/10.1007/BF01665057
Issue Date:
DOI: https://doi.org/10.1007/BF01665057