Vague convergence in the truncated moment problem
type: Item
instance of: scholarly article
title: Vague convergence in the truncated moment problem
zbMATH Open document ID: 0765.60011
published in: Metron
publication date: 1993-03-10T00:00:00Z
review text: The author proves the result of \textit{L. R. Mead} and \textit{N. Papanicolaou} [J. Math. Phys. 25, 2404-2417 (1984)] without the assumption of absolute continuity and without the use of maximum entropy, more precisely, if \(\mu_ n\) is any probability measure that solves the truncated moment problem, viz. that satisfies the moment constraints upto order \(K=n\), then the sequence \(\{\mu_ n\}\) converges vaguely to \(\mu\), the unique solution of the Hausdorff moment problem.
Mathematics Subject Classification ID: 60E05
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 130583
zbMATH Keywords: vague convergence
zbMATH Keywords: truncated moment problem
zbMATH Keywords: Hausdorff moment problem
author: Carlo Sempi
reviewed by: Adhir K. Basu
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 130583