Multivariate Orthogonal Polynomials and Modified Moment Functionals
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Multivariate Orthogonal Polynomials and Modified Moment Functionals
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| Creator |
Delgado, A.M.
Fernández, L. Pérez, T.E. Piñar, M.A. |
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| 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.
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| Date |
2019-02-16T09:16:25Z
2019-02-16T09:16:25Z 2016 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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