Approximation of Classes of Analytic Functions by de la Vallée-Poussin Sums
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.
English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 6, pp 974-986.
Citation Example: Rukasov V. I. Approximation of Classes of Analytic Functions by de la Vallée-Poussin Sums // Ukr. Mat. Zh. - 2003. - 55, № 6. - pp. 806-816.
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