2017
Том 69
№ 9

# Estimates for the best asymmetric approximations of asymmetric classes of functions

Abstract

Asymptotically sharp estimates are obtained for the best $(\alpha, \beta)$ -approximations of the classes $W^r_{1; \gamma, \delta}$ with natural $r$ by algebraic polynomials in the mean.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 6, pp 927-939.

Citation Example: Motornyi V. P., Pas'ko A. N. Estimates for the best asymmetric approximations of asymmetric classes of functions // Ukr. Mat. Zh. - 2011. - 63, № 6. - pp. 798-808.

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