On the best approximation by “angles” in the mean on the plane $\mathbb{R}^2$ with the Chebyshev-Hermite weight.

• Date: 2014
• Author Affiliations: — Днепропетровский университет имени Альфреда Нобеля; — Днепропетровский государственный аграрно-экономический университет
• Keywords: keywords
• Main Authors: Vakarchuk, S. B., Shvachko, A. V., Вакарчук, С. Б., Швачко, А. В.
• Format: Article
• Language: Russian
• Published: Інститут математики НАН України 2014
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/65
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

Exact inequalities of Jackson type connected with the best approximation by ''angles''  of algebraic polynomials are obtained on the classes of differentiable functions of two variables in the metric of space $L_{2,\rho}(\mathbb{R}^2)$ at the Chebyshe...