Abstract
For upper bounds of the deviations of de la Vallée-Poussin sums taken over classes of functions that admit analytic extensions to a fixed strip of the complex plane, we obtain asymptotic equalities. In certain cases, these equalities give a solution of the corresponding Kolmogorov–Nikol'skii problem.
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Rukasov, V.I. Approximation of Classes of Analytic Functions by de la Vallée-Poussin Sums. Ukrainian Mathematical Journal 55, 974–986 (2003). https://doi.org/10.1023/B:UKMA.0000010597.47180.f9
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DOI: https://doi.org/10.1023/B:UKMA.0000010597.47180.f9