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The approximation of certain classes of differentiable periodic functions of two variables by Fourier sums

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Literature cited

  1. A. N. Kolmogorov, “Zur Grössenordnung des Restgliedes Fourierscher Reihen differenzierbarer Funktionen,” Ann. of Math.,36, No. 2 (1935).

  2. V. T. Pinkevich, “On the order of the remainder of the Fourier series of functions which are differentiable in the Weyl sense,” Izv. Akad. Nauk SSSR, Ser. Matem.,4, No. 3 (1940).

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, USSR

    A. I. Stepanets

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  1. A. I. Stepanets
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol.25, No. 5, pp. 599–609, September–October, 1973.

I express my deep gratitude to V. K. Dzyadyk for suggesting the problem and for his interest in the paper.

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Stepanets, A.I. The approximation of certain classes of differentiable periodic functions of two variables by Fourier sums. Ukr Math J 25, 498–506 (1973). https://doi.org/10.1007/BF01091942

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