This is a preview of subscription content, log in via an institution to check access.
Literature Cited
N. S. Nikol'skaya, “Approximation of differentiable functions of several variables by Fourier sums in the Lp metric,” Dokl. Akad. Nauk SSSR,208, No. 6, 1282–1285 (1973).
N. S. Nikol'skaya, “Approximation of differentiable functions of several variables by Fourier sums in the Lp metric,” Sib. Mat. Zh.,15, No. 2, 395–412 (1974).
K. I. Babenko, “Approximation of periodic functions of several variables by trigonometric polynomials,” Dokl. Akad. Nauk SSSR,132, No. 2, 217–250 (1960).
K. I. Babenko, “Approximation of a certain class of periodic functions of several variables by trigonometric polynomials,” Dokl. Akad. Nauk SSSR,132, No. 5, 982–985 (1960).
Ya. S. Bugrov, “Approximation of a class of functions with a dominant mixed derivative,” Mat. Sb.,64, No. 3, 410–418 (1964).
B. S. Mityagin, “Approximation of functions in the spaces Lp and C on the torus,” Mat. Sb.,58, No. 4, 397–414 (1962).
S. A. Telyakovskii, “Some estimates for trigonometric series with quasiconvex coefficients,” Mat. Sb.,63, No. 3, 426–444 (1964).
N. S. Nikol'skaya, “Approximation of functions of several variables by Fourier sums in the Lp metric,” Dissertation for the Degree of Candidate of Physical and Mathematical Sciences, Moscow (1975).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 19, No. 2, pp. 360–369, March–April, 1978.
Rights and permissions
About this article
Cite this article
Nikol'skaya, N.S. Approximation of functions of several variables in the classes\(SL\begin{array}{*{20}c} r \\ * \\ p \\ \end{array}\) by Fourier sums. Sib Math J 19, 252–259 (1978). https://doi.org/10.1007/BF00970508
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00970508