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Literature Cited
S. M. Nikol'skii, Approximation of Functions of Several Variables and Imbedding Theorems [in Russian], Nauka, Moscow (1969).
V. G. Ponomarenko, “Fourier integrals and best-approximation by entire functions,” Izv. VUZ, Matematika,3, 109–123 (1966).
J. Marcinkiewicz, “Sur une méthode remarquable de sommation des series doubles de Fourier,” Collected Papers of J. Marcinkiewicz, 527–538, Warsaw (1964).
R. Taberski, “Abel summability of double Fourier series,” Bull. Acad. Polon. Sci., Sér. Sci. Math. Astron. et Phys.,XVIII, No. 6, 307–314 (1970).
L. V. Zhizhiashvili, “Summation of double Fourier series,” Sib. Matem. Zb.,VIII, No. 3, 548–564 (1967).
M. F. Timan and G. Gaimnazarov, “Deviation of periodic functions of two variables from some polynomials,” Dokl. Akad. Nauk TSSR,15, No. 5, 6–8 (1972).
M. F. Timan and V. G. Ponomarenko, “Approximation of periodic functions of two variables by Martsinkevich sums. Annotation,” Izv. VUZ, Matematika,9, 98 (1972).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 16, No. 1, pp. 86–97, January–February, 1975.
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Ponomarenko, V.G. Approximation of functions which are uniformly continuous on the whole real plane. Sib Math J 16, 68–77 (1975). https://doi.org/10.1007/BF00967463
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DOI: https://doi.org/10.1007/BF00967463