Article ID Journal Published Year Pages File Type
4608299 Journal of Approximation Theory 2007 16 Pages PDF
Abstract

We study a generalization of the classical Marcinkiewicz–Zygmund inequalities. We relate this problem to the sampling sequences in the Paley–Wiener space and by using this analogy we give sharp necessary and sufficient computable conditions for a family of points to satisfy the Marcinkiewicz–Zygmund inequalities.

Related Topics
Physical Sciences and Engineering Mathematics Analysis