2019
Том 71
№ 8

All Issues

Approximation of $\overline \psi$-Integrals of Periodic Functions by de la Vallée-Poussin Sums (Low Smoothness)

Chaichenko S. O., Rukasov V. I.

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Abstract

We investigate the asymptotic behavior of the upper bounds of deviations of linear means of Fourier series from the classes $C_{\infty} ^{\psi}$. In particular, we obtain asymptotic equalities that give a solution of the Kolmogorov – Nikol'skii problem for the de la Vallée-Poussin sums on the classes $C_{\infty} ^{\psi}$.

English version (Springer): Ukrainian Mathematical Journal 53 (2001), no. 12, pp December 2001, Volum.

Citation Example: Chaichenko S. O., Rukasov V. I. Approximation of $\overline \psi$-Integrals of Periodic Functions by de la Vallée-Poussin Sums (Low Smoothness) // Ukr. Mat. Zh. - 2001. - 53, № 12. - pp. 1641-1653.

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