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

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 class...

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Bibliographic Details
Date:	2002
Main Authors:	Rukasov, V. I., Chaichenko, S. O., Рукасов, В. І., Чайченко, С. О.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2002
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4204
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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