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arXiv · 1611.02313

Approximative characteristics of classes of functions $S^{\Omega}_{p,\theta}B(\mathbb{R}^d)$ with a given majorant of mixed modulus of smoothness

S. Ya. Yanchenko·S. A. Stasyuk
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Abstract

We obtain order estimates of approximation of functions from the classes $S^{\Omega}_{p,\theta}B (\mathbb{R}^d)$ in the space $L_q(\mathbb{R}^d)$, $1<p<q<\infty$, by entire functions of exponential type with supports of their Fourier transforms in sets generated by the level surfaces of a function $\Omega$.

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S. Ya. Yanchenko, S. A. Stasyuk. 2016-11-07. Approximative characteristics of classes of functions $S^{\Omega}_{p,\theta}B(\mathbb{R}^d)$ with a given majorant of mixed modulus of smoothness. https://arxiv.org/abs/1611.02313

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