2017
Том 69
№ 9

All Issues

Approximation of Analytic Periodic Functions by de la Vallée-Poussin Sums

Chaichenko S. O., Rukasov V. I.

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Abstract

We investigate the approximation properties of the de la Vallée-Poussin sums on the classes \(C_{\beta }^q H_{\omega }\) . We obtain asymptotic equalities that, in certain cases, guarantee the solvability of the Kolmogorov–Nikol'skii problem for the de la Vallée-Poussin sums on the classes \(C_{\beta }^q H_{\omega }\) .

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 12, pp 2006-2024.

Citation Example: Chaichenko S. O., Rukasov V. I. Approximation of Analytic Periodic Functions by de la Vallée-Poussin Sums // Ukr. Mat. Zh. - 2002. - 54, № 12. - pp. 1653-1669.

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