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Approximation of differentiable functions by Rogosinski polynomials

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Literature cited

  1. W. Rogosinski, “Über die Abschnitte trigonometrischer Reihen,” Mathematische Annalen,95 (1926).

  2. V. K. Dzyadyk, V. T. Gavrilyuk, and A. I. Stepanets, Ukr. Matem. Zh.,22, No. 4 (1970)

  3. V. K. Dzyadyk and A. I. Stepanets, Ukr. Matem. Zh.,24, No. 4 (1972).

  4. Tables of the Sine and Cosine Integral [in Russian], Izd. AN SSSR, Moscow (1954).

  5. N. P. Korneichuk, Dokl. Akad. Nauk SSSR,125, No. 2 (1959).

  6. N. P. Korneichuk, Some Aspects of the Approximation of Periodic Functions by Trigonometric Polynomials, Author's Abstract of Candidate's Dissertation [in Russian], Dnepropetrovsk (1959).

  7. N. P. Korneichuk, Dokl. Akad. Nauk URSR, No. 8 (1962).

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Authors and Affiliations

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

    V. T. Gavrilyuk & A. I. Stepanets

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  1. V. T. Gavrilyuk
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  2. A. I. Stepanets
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 25, No. 1, pp. 3–13, January–February, 1973.

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Gavrilyuk, V.T., Stepanets, A.I. Approximation of differentiable functions by Rogosinski polynomials. Ukr Math J 25, 1–9 (1973). https://doi.org/10.1007/BF01085386

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  • DOI: https://doi.org/10.1007/BF01085386

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