The proof of Tchakaloff's theorem

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Date

2005

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Advisor

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Publisher

Cambridge : arXiv

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Link to publishers' Version

http://arxiv.org/abs/math/0502473v2

Abstract

We provide a simple proof of Tchakaloff's Theorem on the existence of cubature formulas of degree m for Borel measures with moments up to order m. The result improves known results for non-compact supports, since we do not need conditions on (m+1)st moments.

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Keywords

Quadrature, cubature, truncated moment problem, Tchakaloff’s Theorem

Keywords GND

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Report

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publishedVersion

URI

https://oa.tib.eu/renate/handle/123456789/3371

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Mathematik

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