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On a construction method of new moment sequences
- Authors
- Baek, Seunghwan; Choi, Hayoung; Yoo, Seonguk
- Issue Date
- Sep-2024
- Publisher
- Springer Verlag
- Keywords
- Moment sequence; Representing measure; Positive semidefinite; Symmetric positive polynomial
- Citation
- Monatshefte für Mathematik, v.205, no.1, pp 55 - 69
- Pages
- 15
- Indexed
- SCIE
SCOPUS
- Journal Title
- Monatshefte für Mathematik
- Volume
- 205
- Number
- 1
- Start Page
- 55
- End Page
- 69
- ISSN
- 0026-9255
1436-5081
- 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 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.
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