A truncated indefinite Stieltjes moment problem
A truncated indefinite Stieltjes moment problem in the class Nkκ of generalized Stieltjes functions is studied. The set of solutions of Stieltjes moment problem is described by Schur step-by-step algorithm, which is based on the expansion of the solutions in a generalized Stieltjes continued fractio...
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| Дата: | 2016 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2016
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| Назва видання: | Український математичний вісник |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/145085 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | A truncated indefinite Stieltjes moment problem / I.M. Kovalyov // Український математичний вісник. — 2016. — Т. 13, № 4. — С. 473-498. — Бібліогр.: 24 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-145085 |
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irk-123456789-1450852019-01-15T01:23:48Z A truncated indefinite Stieltjes moment problem Kovalyov, I.M. A truncated indefinite Stieltjes moment problem in the class Nkκ of generalized Stieltjes functions is studied. The set of solutions of Stieltjes moment problem is described by Schur step-by-step algorithm, which is based on the expansion of the solutions in a generalized Stieltjes continued fraction. The resolvent matrix is represented in terms of generali-zed Stieltjes polynomials. A factorization formula for the resolvent matrix is found. 2016 Article A truncated indefinite Stieltjes moment problem / I.M. Kovalyov // Український математичний вісник. — 2016. — Т. 13, № 4. — С. 473-498. — Бібліогр.: 24 назв. — англ. 1810-3200 2010 MSC. 30E05, 15B57, 46C20, 47A57 http://dspace.nbuv.gov.ua/handle/123456789/145085 en Український математичний вісник Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
A truncated indefinite Stieltjes moment problem in the class Nkκ of generalized Stieltjes functions is studied. The set of solutions of Stieltjes moment problem is described by Schur step-by-step algorithm, which is based on the expansion of the solutions in a generalized Stieltjes continued fraction. The resolvent matrix is represented in terms of generali-zed Stieltjes polynomials. A factorization formula for the resolvent matrix is found. |
| format |
Article |
| author |
Kovalyov, I.M. |
| spellingShingle |
Kovalyov, I.M. A truncated indefinite Stieltjes moment problem Український математичний вісник |
| author_facet |
Kovalyov, I.M. |
| author_sort |
Kovalyov, I.M. |
| title |
A truncated indefinite Stieltjes moment problem |
| title_short |
A truncated indefinite Stieltjes moment problem |
| title_full |
A truncated indefinite Stieltjes moment problem |
| title_fullStr |
A truncated indefinite Stieltjes moment problem |
| title_full_unstemmed |
A truncated indefinite Stieltjes moment problem |
| title_sort |
truncated indefinite stieltjes moment problem |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/145085 |
| citation_txt |
A truncated indefinite Stieltjes moment problem / I.M. Kovalyov // Український математичний вісник. — 2016. — Т. 13, № 4. — С. 473-498. — Бібліогр.: 24 назв. — англ. |
| series |
Український математичний вісник |
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AT kovalyovim atruncatedindefinitestieltjesmomentproblem AT kovalyovim truncatedindefinitestieltjesmomentproblem |
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2023-05-20T17:21:11Z |
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2023-05-20T17:21:11Z |
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1796153103234367488 |