Approximation of classes of Poisson integrals by 𝑟-repeated de la Vallee Poussin sums

Abstract

We obtain asymptotic formulas for upper bounds of the deviations of trigonometric polynomials, generated by repeated de la Vallee Poussin methods of summation, taken over classes of Poisson integrals.

Authors and Affiliations

O. A. Novikov, O. G. Rovenska

Keywords

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  • EP ID EP416124
  • DOI -
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How To Cite

O. A. Novikov, O. G. Rovenska (2014). Approximation of classes of Poisson integrals by 𝑟-repeated de la Vallee Poussin sums. Дослідження в математиці і механіці, 19(3), 14-26. https://europub.co.uk/articles/-A-416124