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Estimates for functionals with a known moment sequence in terms of deviations of Steklov type means

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Some estimates for functionals indicated in the title are established. As implications, Jackson type inequalities with constants smaller than the previously known ones are obtained. The results hold in various spaces of both periodic and nonperiodic functions. Bibliography: 9 titles.

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References

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    O. L. Vinogradov & V. V. Zhuk

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  1. O. L. Vinogradov
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  2. V. V. Zhuk
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Correspondence to O. L. Vinogradov.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 383, 2010, pp. 5–32.

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Vinogradov, O.L., Zhuk, V.V. Estimates for functionals with a known moment sequence in terms of deviations of Steklov type means. J Math Sci 178, 115–131 (2011). https://doi.org/10.1007/s10958-011-0531-3

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  • DOI: https://doi.org/10.1007/s10958-011-0531-3

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