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On the construction, for the functions si x and\(\Phi (x) = (2/\sqrt \pi )\int\limits_0^x {e^{ - t2} dt} \), of polynomials which approximate them almost as well as the best approximations

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Ukrainian Mathematical Journal Aims and scope

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Literature cited

  1. V. K. Dzyadyk, “On an effective construction of polynomials which provide close to the best approximations of the function ex, sinx, and others,” Ukrainsk. Matem. Zh.,25, No. 4 (1973).

  2. V. V. Stepanov, Course in Differential Equations [in Russian], Fizmatgiz, Moscow (1958).

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  3. N. I. Akhiezer, Lectures on Approximation Theory [in Russian], Fizmatgiz, Moscow (1965).

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences, USSR

    V. K. Stolyarchuk

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  1. V. K. Stolyarchuk
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 26, No. 2, pp. 216–226, March–April, 1974.

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Stolyarchuk, V.K. On the construction, for the functions si x and\(\Phi (x) = (2/\sqrt \pi )\int\limits_0^x {e^{ - t2} dt} \), of polynomials which approximate them almost as well as the best approximations. Ukr Math J 26, 177–185 (1974). https://doi.org/10.1007/BF01085717

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  • DOI: https://doi.org/10.1007/BF01085717

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