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Approximation by de la Vallée-Poussin operators on the classes of functions locally summable on the real axis

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Ukrainian Mathematical Journal Aims and scope

For the least upper bounds of deviations of the de la Vallée-Poussin operators on the classes \( \hat{L}_\beta^\psi \) of rapidly vanishing functions ψ in the metric of the spaces \( {\hat{L}_p} \), 1 ≤ p ≤ ∞, we establish upper estimates that are exact on some subsets of functions from \( {\hat{L}_p} \).

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Authors and Affiliations

  1. Slavyansk Pedagogic University, Slavyansk, Ukraine

    V. I. Rukasov & S. O. Chaichenko

Authors
  1. V. I. Rukasov
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  2. S. O. Chaichenko
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V. I. Rukasov (Deceased).

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 7, pp. 968–978, July, 2010.

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Rukasov, V.I., Chaichenko, S.O. Approximation by de la Vallée-Poussin operators on the classes of functions locally summable on the real axis. Ukr Math J 62, 1126–1138 (2010). https://doi.org/10.1007/s11253-010-0418-3

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  • DOI: https://doi.org/10.1007/s11253-010-0418-3

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