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

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