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Approximation by triangular fourier sums on classes of continuous periodic functions of two variables

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Literature cited

  1. A. I. Stepanets, Uniform Approximation by Trigonometric Polynomials [in Russian], Naukova Dumka, Kiev (1981).

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  2. I. K. Daugovet, “Lebesgue's construction of double Fourier series,” in: Computing Methods [in Russian], No. 6, Leningrad State Univ. (1970), pp. 8–13.

  3. A. I. Stepanets, “The approximation by Fourier sums of functions satisfying the Lipschitz conditions,” Ukr. Mat. Zh.,24, No. 6, 781–799 (1972).

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  4. V. K. Dzyadyk and A. I. Stepanets, “The sequence of zeros of the integrated sine,” in: Metric Problems in the Theory of Functions and Transformations [in Russian], Vol. II, Naukova Dumka, Kiev (1971), pp. 64–73.

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 35, No. 2, pp. 249–254, March–April, 1983.

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Stepanets, A.I., Rukasov, V.I. Approximation by triangular fourier sums on classes of continuous periodic functions of two variables. Ukr Math J 35, 215–220 (1983). https://doi.org/10.1007/BF01088940

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  • DOI: https://doi.org/10.1007/BF01088940

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