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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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References regarding unisolvent sets
The term "unisolvent" is inspired by the much more classical definition involving functions. (e.g. Philip Davis - Interpolation and Approximation, and results by B. Polster)
A unisolvent family of fun …
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References regarding unisolvent sets
Let $X = {x_1, ..., x_N}$ be a finite subset of $R^n$ and let $p$ and $q$ be any polynomials of degree $k$ or less. X is called $\underline{P_k-unisolvent}$ if $p(x_j) = q(x_j)$ ($j = 1, ..., N$) impl …