Multivariate Orthogonal Polynomials and Modified Moment Functionals
Multivariate orthogonal polynomials can be introduced by using a moment functional defined on the linear space of polynomials in several variables with real coefficients. We study the so-called Uvarov and Christoffel modifications obtained by adding to the moment functional a finite set of mass poin...
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| Дата: | 2016 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2016
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147849 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Multivariate Orthogonal Polynomials and Modified Moment Functionals / A.M. Delgado, L. Fernández, T.E. Pérez, M.A. Piñar // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 32 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147849 |
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irk-123456789-1478492019-02-17T01:27:59Z Multivariate Orthogonal Polynomials and Modified Moment Functionals Delgado, A.M. Fernández, L. Pérez, T.E. Piñar, M.A. Multivariate orthogonal polynomials can be introduced by using a moment functional defined on the linear space of polynomials in several variables with real coefficients. We study the so-called Uvarov and Christoffel modifications obtained by adding to the moment functional a finite set of mass points, or by multiplying it times a polynomial of total degree 2, respectively. Orthogonal polynomials associated with modified moment functionals will be studied, as well as the impact of the modification in useful properties of the orthogonal polynomials. Finally, some illustrative examples will be given. 2016 Article Multivariate Orthogonal Polynomials and Modified Moment Functionals / A.M. Delgado, L. Fernández, T.E. Pérez, M.A. Piñar // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 32 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 33C50; 42C10 DOI:10.3842/SIGMA.2016.090 http://dspace.nbuv.gov.ua/handle/123456789/147849 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Multivariate orthogonal polynomials can be introduced by using a moment functional defined on the linear space of polynomials in several variables with real coefficients. We study the so-called Uvarov and Christoffel modifications obtained by adding to the moment functional a finite set of mass points, or by multiplying it times a polynomial of total degree 2, respectively. Orthogonal polynomials associated with modified moment functionals will be studied, as well as the impact of the modification in useful properties of the orthogonal polynomials. Finally, some illustrative examples will be given. |
| format |
Article |
| author |
Delgado, A.M. Fernández, L. Pérez, T.E. Piñar, M.A. |
| spellingShingle |
Delgado, A.M. Fernández, L. Pérez, T.E. Piñar, M.A. Multivariate Orthogonal Polynomials and Modified Moment Functionals Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Delgado, A.M. Fernández, L. Pérez, T.E. Piñar, M.A. |
| author_sort |
Delgado, A.M. |
| title |
Multivariate Orthogonal Polynomials and Modified Moment Functionals |
| title_short |
Multivariate Orthogonal Polynomials and Modified Moment Functionals |
| title_full |
Multivariate Orthogonal Polynomials and Modified Moment Functionals |
| title_fullStr |
Multivariate Orthogonal Polynomials and Modified Moment Functionals |
| title_full_unstemmed |
Multivariate Orthogonal Polynomials and Modified Moment Functionals |
| title_sort |
multivariate orthogonal polynomials and modified moment functionals |
| publisher |
Інститут математики НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147849 |
| citation_txt |
Multivariate Orthogonal Polynomials and Modified Moment Functionals / A.M. Delgado, L. Fernández, T.E. Pérez, M.A. Piñar // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 32 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT delgadoam multivariateorthogonalpolynomialsandmodifiedmomentfunctionals AT fernandezl multivariateorthogonalpolynomialsandmodifiedmomentfunctionals AT perezte multivariateorthogonalpolynomialsandmodifiedmomentfunctionals AT pinarma multivariateorthogonalpolynomialsandmodifiedmomentfunctionals |
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2023-05-20T17:28:40Z |
| last_indexed |
2023-05-20T17:28:40Z |
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