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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