Approximation of functions from isotropic classes $B_{1,\theta}^{\Omega}(\mathbb{R}^d)$ to integer functions of exponential type

• Date: 2013
• Author Affiliations: В. В. Миронюк — Інститут математики НАН України
• Keywords: keywords
• Main Authors: Mironyuk, V. V., Миронюк, В. В.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2013
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/162
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

Obtained are the exact order estimates of approximation of functions from isotropic $B^{\Omega}_{1,\theta}(\mathbb{R}^d)$ classes by entire functions of exponential type in space $L_q(\mathbb{R}^d)$, $1<q<\infty$