2017
Том 69
№ 9

All Issues

Approximation of the Classes $C^{{\bar \psi }} H_{\omega }$ by de la Vallée-Poussin Sums

Chaichenko S. O., Rukasov V. I.

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Abstract

We investigate the problem of the approximation of the classes $C^{{\bar \psi }} H_{\omega }$ introduced by Stepanets in 1996 by the de la Valée-Poussin sums. We obtain asymptotic equalities that give a solution of the Kolmogorov–Nikol'skii problem for the de la Valée-Poussin sums on the classes Cψ¯HωCψ¯Hω in several important cases.

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 5, pp 839–851.

Citation Example: Chaichenko S. O., Rukasov V. I. Approximation of the Classes $C^{{\bar \psi }} H_{\omega }$ by de la Vallée-Poussin Sums // Ukr. Mat. Zh. - 2002. - 54, № 5. - pp. 681-691.

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