Abstract
For the upper bounds of the deviations of a function defined on the entire real line from the corresponding values of the de la Vallée-Poussin operators, we find asymptotic equalities that give a solution of the well-known Kolmogorov–Nikol'skii problem.
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Rukasov, V.I. Approximation of Continuous Functions by de la Vallée-Poussin Operators. Ukrainian Mathematical Journal 55, 498–511 (2003). https://doi.org/10.1023/A:1025833513134
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DOI: https://doi.org/10.1023/A:1025833513134