Abstract
For every n, we compute the Lebesgue constant of Rogosinski kernel with any preassigned accuracy.
References
V. K. Dzyadyk, Introduction to the Theory of Uniform Approximation of Functions by Polynomials [in Russian], Nauka, Moscow (1978).
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).
G. Korn and T. Korn, Mathematical Handbook [Russian translation], Nauka, Moscow (1973).
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