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Remark on the Lebesgue constant in the Rogosinski Kernel

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Abstract

For every n, we compute the Lebesgue constant of Rogosinski kernel with any preassigned accuracy.

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References

  1. V. K. Dzyadyk, Introduction to the Theory of Uniform Approximation of Functions by Polynomials [in Russian], Nauka, Moscow (1978).

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  2. N. P. Korneichuk, “Approximation of periodic functions satisfying the Lipschitz condition by Bernstein-Rogosinski sums,” Dokl. Akad. Nauk SSSR, 125, No. 2, 258–261 (1959).

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  3. G. Korn and T. Korn, Mathematical Handbook [Russian translation], Nauka, Moscow (1973).

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Authors
  1. V. K. Dzyadyk
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  2. I. A. Shevchuk
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Additional information

Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 7, pp. 1002–1004, July, 1997.

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Dzyadyk, V.K., Shevchuk, I.A. Remark on the Lebesgue constant in the Rogosinski Kernel. Ukr Math J 49, 1125–1128 (1997). https://doi.org/10.1007/BF02528759

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  • DOI: https://doi.org/10.1007/BF02528759

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