2013•arXiv (Cornell University)Open access
Approximations of certain classes of functions of several variables by greedy approximants in the integral metrics
Andrii 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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