Multivariate Orthogonal Polynomials and Modified Moment Functionals

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dc.contributor.authorDelgado, A.M.
dc.contributor.authorFernández, L.
dc.contributor.authorPérez, T.E.
dc.contributor.authorPiñar, M.A.
dc.date.accessioned2019-02-16T09:16:25Z
dc.date.available2019-02-16T09:16:25Z
dc.date.issued2016
dc.description.abstractMultivariate 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.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue on Orthogonal Polynomials, Special Functions and Applications. The full collection is available at http://www.emis.de/journals/SIGMA/OPSFA2015.html. The authors are really grateful to the anonymous referees for their valuable suggestions and comments which led us to improve this paper. This work has been partially supported by MINECO of Spain and the European Regional Development Fund (ERDF) through grant MTM2014– 53171–P, and Junta de Andaluc´ıa grant P11–FQM–7276 and research group FQM–384.uk_UA
dc.identifier.citationMultivariate 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.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 33C50; 42C10
dc.identifier.otherDOI:10.3842/SIGMA.2016.090
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147849
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleMultivariate Orthogonal Polynomials and Modified Moment Functionalsuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік