Estimates for the best asymmetric approximations of asymmetric classes of functions

• Date: 2011
• Main Authors: Motornyi, V. P., Pas'ko, A. N., Моторный, В. П., Пасько, А. Н.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2011
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2763
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.