Approximation by step-hyperbolic Fourier sums of classes $\mathbf{MB}^{\omega}_{1,\theta}(\bar{\gamma})$

• Date: 2014
• Author Affiliations: С. А. Стасюк — Інститут математики НАН України
• Keywords: keywords
• Main Authors: Stasyuk, S. A., Стасюк, С. А.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2014
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/79
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

We obtained the exact order estimates of approximation by step-hyperbolic Fourier sums of classes $\mathbf{MB}_{1,\theta}^{\omega}(\bar{\gamma})$ of periodic functions of many variables in the $L_q$-metric $(1<q<\infty)$