Literature Cited
N. S. Nikol'skaya, “Approximation of differentiable functions of many variables by Fourier sums in the Lp-metric,” Dokl. Akad. Nauk SSSR,208, No. 6, 1282–1285 (1973).
Ya. S. Bugrov, “Approximation of a class of functions with dominating composite derivatives,” Mat. Sb.,64 (106), No. 3, 410–418 (1964).
S. M. Nikol'skii, “Functions with dominating composite derivatives satisfying multiple Hölder conditions,” Sib. Mat. Zh.,4, No. 4, 1342–1364 (1963).
N. S. Nikol'skaya, “Approximation of differentiable functions of many variables by Fourier sums in the Lp-metric,” Sib. Mat. Zh.,15, No. 2, 395–412 (1974).
S. A. Telyakovskii, “Some bounds for trigonometric series with quasiconvex coefficients,” Mat. Sb.,63 (105), No. 3, 426–444 (1964).
N. S. Bakhvalov, “Imbedding theorems for classes of functions with some bounded derivatives,” Vesti. Mosk. Un-ta. Ser. Matematika, Mekhanika, No. 3, 7–16 (1963).
A. Zygmund (editor), Trigonometric Series, Vol. 2, Cambridge University Press (1968).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 16, No. 4, pp. 761–780, July–August, 1975.
Rights and permissions
About this article
Cite this article
Nikol'skaya, N.S. Approximation of periodic functions of the class\(SH\mathop *\limits_p^r \) by Fourier sums. Sib Math J 16, 582–596 (1975). https://doi.org/10.1007/BF00967132
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00967132