Approximation of the $| x |^r$ function and its derivatives

• Date: 1990
• Main Authors: Shvai, A. I., Antonyuk, P. E., Dzyadyk, S. Yu., Zaritskaya, Z. V., Швай, А. И., Антонюк, П. Е., Дзядык , С. Ю., Зарицкая, З. В.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 1990
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8845
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider the problem of an effective approximation of derivatives of the function $|x|^r,r>1$, in $C[-1,1]$ with the aid of polynomials introduced by V. K. Dzyadyk.