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arXiv · 1607.06069

Order estimates of approximative characteristics of functions from classes $S^{r}_{1,\theta}B(\mathbb{R}^d)$

S. Ya. Yanchenko
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Abstract

We obtained exact order estimates of approximation of the classes $S^{\boldsymbol{r}}_{1,\theta}B$ by entire functions of exponential type with supports of their Fourier transforms in step hyperbolic cross. The error of the approximation estimated in the metric of Lebesgue spaces, $L_q(\mathbb{R}^d)$, $1<q\leqslant \infty$.

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BibTeXRIS

S. Ya. Yanchenko. 2016-07-20. Order estimates of approximative characteristics of functions from classes $S^{r}_{1,\theta}B(\mathbb{R}^d)$. https://arxiv.org/abs/1607.06069

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