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Approximation of continuous functions by regular polynomials

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Literature cited

  1. V. K. Dzyadyk, “The approximation of functions by regular polynomials on a finite interval of the real axis,” Izv. Akad. Nauk SSSR, Ser. Matem.,22, No. 3 (1958).

  2. V. K. Dzyadyk, “A further sharpening of a theorem of Jackson on the approximation of continuous functions by regular polynomials,” Dokl. Akad. Nauk SSSR,121, No. 3 (1958).

  3. A. F. Timan, “A sharpening of a theorem of Jackson on the best approximation of continuous functions by polynomials on a finite interval of the real axis, ”Dokl. Akad. Nauk SSSR,78, No. 1 (1951).

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Authors and Affiliations

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

    A. I. Stepanets & R. V. Polyakov

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  1. A. I. Stepanets
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  2. R. V. Polyakov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol.20, No.2, pp.192–202, March–April, 1968.

The authors thank V. K. Dzyadyk for setting the problem and for his valuable advice.

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Stepanets, A.I., Polyakov, R.V. Approximation of continuous functions by regular polynomials. Ukr Math J 20, 176–184 (1968). https://doi.org/10.1007/BF01085531

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  • DOI: https://doi.org/10.1007/BF01085531

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