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arXiv · 1302.2790

Approximations of certain classes of functions of several variables by greedy approximants in the integral metrics

Andriy L. Shidlich
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Abstract

We find the exact order estimates of the approximations of the classes ${\cal F}_{q,r}^ψ$ of functions of several variables by greedy approximants in the integral metric. We also obtain the exact order estimates of the best $n$-term orthogonal trigonometric approximations of the classes ${\cal F}_{q,r}^ψ$ in the integral metric.

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Andriy L. Shidlich. 2013-02-12. Approximations of certain classes of functions of several variables by greedy approximants in the integral metrics. https://arxiv.org/abs/1302.2790

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