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Sampling, Marcinkiewicz-Zygmund Inequalities, Approximation, and Quadrature Rules
Published 17 Sep 2019 in math.NA, cs.NA, and math.FA | (1909.07752v1)
Abstract: Given a sequence of Marcinkiewicz-Zygmund inequalities in $L2$, we derive approximation theorems and quadrature rules. The derivation is completely elementary and requires only the definition of Marcinkiewicz-Zygmund inequality, Sobolev spaces, and the solution of least square problems.
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