2017
Том 69
№ 9

All Issues

Approximation of Continuous Functions by de la Vallée-Poussin Operators

Rukasov V. I.

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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.

English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 3, pp 498-511.

Citation Example: Rukasov V. I. Approximation of Continuous Functions by de la Vallée-Poussin Operators // Ukr. Mat. Zh. - 2003. - 55, № 3. - pp. 414-424.

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