Abstract
We study some problems of the approximation of continuous functions defined on the real axis. As approximating aggregates, the de la Vallee-Poussin operators are used. We establish asymptotic equalities for upper bounds of the deviations of the de la Vallee-Poussin operators from functions of low smoothness belonging to the classes \(\hat C^{\bar \psi } \mathfrak{N}\).
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 3, pp. 394–399, March, 2005.
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Rukasov, V.I., Silin, E.S. Approximation of Continuous Functions of Low Smoothness by de la Vallee-Poussin Operators. Ukr Math J 57, 474–480 (2005). https://doi.org/10.1007/s11253-005-0204-9
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DOI: https://doi.org/10.1007/s11253-005-0204-9