Order estimates for approximative characteristics of functions from generalized classes of mixed smoothness of the Nikol’skii-Besov type

• Date: 2014
• Author Affiliations: С. Я. Янченко — Інститут математики НАН України
• Keywords: keywords
• Main Authors: Yanchenko, S. Ya., Янченко, С. Я.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2014
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/84
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

We obtain the exact order estimates of the approximation classes $S^{\Omega}_{p,\theta}B$ functions of many variables defined on $\mathbb{R}^d$ by using entire functions of exponential type with supported of their Fourier transform on some sets in uniform metric