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Given a sequence of Marcinkiewicz-Zygmund inequalities in $L^2$, we deriveapproximation theorems and quadrature rules. The derivation is completelyelementary and requires only the definition of Marcinkiewicz-Zygmundinequality, Sobolev spaces, and the solution of least square problems.

Sampling, Marcinkiewicz-Zygmund Inequalities, Approximation, and Quadrature Rules