On a construction method of new moment sequences
Functional Analysis
2023-05-04 v1
Abstract
In this paper we provide a way to construct new moment sequences from a given moment sequence. An operator based on multivariate positive polynomials is applied to get the new moment sequences. A class of new sequences is corresponding to a unique symmetric polynomial; if this polynomial is positive, then the new sequence becomes again a moment sequence. We will see for instance that a new sequence generated from minors of a Hankel matrix of a Stieltjes moment sequence is also a Stieltjes moment sequence.
Cite
@article{arxiv.2305.01862,
title = {On a construction method of new moment sequences},
author = {Seunghwan Baek and Hayoung Choi and Seonguk Yoo},
journal= {arXiv preprint arXiv:2305.01862},
year = {2023}
}