Vague convergence in the truncated moment problem
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.
scientific article; zbMATH DE number 130583