Literature cited
P. P. Korovkin, “Convergent sequences of linear operators,” Usp. Mat. Nauk,17, No. 4, 147–152 (1962).
P. P. Korovkin, The Order of Approximation to Functions by Linear Polynomial Operators in the Class Sm. A Study of Modern Problems in the Constructive Theory of Functions, [in Russian], Izd. Akad. Nauk Azerbaijan SSR, Baku (1965), pp. 163–166.
P. P. Korovkin, “The order of approximation to functions by linear positive operators,” Dokl. Akad. Nauk SSSR,114, No. 6, 1158–1161 (1957).
N. A. Sapogov, “The lower bound of approximation to continuous functions by linear positive operators,” Newsletter of Leningrad Univ., No. 19, 49–55 (1962).
V. K. Dzyadyk, “Approximation to functions by linear positive operators and singular integrals,” Mat. Sb.,70, No. 4, 508–517 (1966).
P. C. Curtis, “The degree of approximation by positive convolution operators,” Mich. Math. J.,12, No. 2, 153–160 (1965).
R. K. Vasil'ev, “The order of approximation to functions on sets with a positive measure, by linear positive polynomial operators,” Matem. Zametki,13, No. 3, 457–468 (1973).
A. I. Kovalenko, “Several methods of summing Fourier series,” Mat. Sb.,71, No. 4, 598–616 (1966).
Author information
Authors and Affiliations
Additional information
Reports given at the International Conference on the Theory of Approximation to Functions. Kaluga, July 24–28, 1975.
Translated from Matematicheskie Zametki, Vol. 20, No. 3, pp. 409–416, September, 1976.
Rights and permissions
About this article
Cite this article
Vasil'ev, R.K. The order of approximation to functions on sets by polynomial operators in the class Sm . Mathematical Notes of the Academy of Sciences of the USSR 20, 785–789 (1976). https://doi.org/10.1007/BF01097251
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01097251