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Sharp Estimates for the Deviation of the Mean Value of a Periodic Function in Terms of Moduli of Continuity of Higher Order

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Abstract

Estimates from above for the uniform deviation of the mean value of a periodic function and the best approximation by constants are obtained on some classes of functions defined by moduli of continuity of even order. Similar results are established for approximations in the space L 2 and for the error of rectangular formula. Bibliography: 10 titles.

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Authors
  1. O. L. Vinogradov
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  2. V. V. Zhuk
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Vinogradov, O.L., Zhuk, V.V. Sharp Estimates for the Deviation of the Mean Value of a Periodic Function in Terms of Moduli of Continuity of Higher Order. Journal of Mathematical Sciences 106, 2901–2918 (2001). https://doi.org/10.1023/A:1011360419049

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  • DOI: https://doi.org/10.1023/A:1011360419049

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