Literature Cited
A. Zygmund, “The approximation of functions by typical means of their Fourier series,” Duke Math. J.,12, 695–704 (1945).
G. Sunouchi and C. Watari, “On the determiantion of the class of saturation in the theory of the approximation of functions,” Tôhoky Math. J.,11, No. 3, 480–488 (1959).
A. Zygmund, Trigonometric Series [Russian translation], Vol. 1, Mir (1965).
Ya. S. Bugrov, “The approximation of classes of functions defined by polyharmonic operators by trigonometric polynomials,” Uspekhi Matem. Nauk,13, No. 2 (80) (1958).
I. V. Matveev, “Methods of summing double Fourier series for functions of two variables,” Matem. Sb.,29, No. 1 (1951).
G. A. Fomin, “Linear methods of summing Fourier series” Matem. Sb.,65(107), No. 1, 144–152 (1964).
V. G. Ponomarenko and M. F. Timan, “Pro klasi nasichennya funktsii bagat'okh zminnikh,” Dopovidi AN URSR,10, 1282–1286 (1962).
V. G. Ponomarenko and M. F. Timan, “Some generalizations of a theorem by Zygmund,” Uch. Zap. Kazanskogo Un-ta,124, No. 6, 266–270 (1964).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 11, No. 5, pp. 1107–1120, September–October, 1970.
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Ponomarenko, V.G., Timan, M.F. Constructive characteristics of certain classes of periodic functions of several variables. Sib Math J 11, 823–832 (1970). https://doi.org/10.1007/BF00967842
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DOI: https://doi.org/10.1007/BF00967842