Questions tagged [approximation-theory]
Approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterizing the errors introduced thereby.
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L^2 polynomial approximation in higher dimensions
Let $\mu$ be a measure on $\mathbb{R}^n$ I'm looking for known upper-bounds on
$$\| f-P_m \|_{L^2(\mu)} $$
where $P_n$ is the orthogonal projection of $f$ onto the polynomials of degree less than $m$.
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