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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We do not analyse or generate any datasets, because our work proceeds within a theoretical and mathematical approach.
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The authors are deeply grateful to the referee for suggestions that led to significant improvements in the presentation.
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Communicated by Gerald Teschl.
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The author Seunghwan Baek was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education (NRF-2020R1I1A1A01068230). The author Hayoung Choi was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No. 2022R1A5A1033624). The author Seonguk Yoo was supported by the National Research Foundation of Korea (NRF) Grant funded by the Korea government (MSIT) (2020R1F1A1A01070552).
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Baek, S., Choi, H. & Yoo, S. On a construction method of new moment sequences. Monatsh Math (2024). https://doi.org/10.1007/s00605-024-01947-1
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DOI: https://doi.org/10.1007/s00605-024-01947-1