On Sobolev orthogonal polynomials on a triangle

dc.contributor.authorMarriaga, Misael E.
dc.date.accessioned2023-01-13T11:20:45Z
dc.date.available2023-01-13T11:20:45Z
dc.date.issued2023-02
dc.description.abstractWe use the invariance of the triangle T2 = {(x, y) ∈ R2 : 0 < x, y, 1−x−y} under the permutations of {x, y, 1−x−y} to construct and study two-variable orthogonal polynomial systems with respect to several distinct Sobolev inner products defined on T2. These orthogonal polynomials can be constructed from two sequences of univariate orthogonal polynomials. In particular, one of the two univariate sequences of polynomials is orthogonal with respect to a Sobolev inner product and the other is a sequence of classical Jacobi polynomials.es
dc.identifier.citationM. E. Marriaga, On Sobolev orthogonal polynomials on a triangle, Proc. Amer. Math. Soc. 151 (2023), 679-691.es
dc.identifier.doi10.1090/proc/16142es
dc.identifier.issn1088-6826
dc.identifier.issn0002-9939
dc.identifier.urihttps://hdl.handle.net/10115/20913
dc.language.isoenges
dc.publisherAmerican Mathematical Societyes
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.subjectSobolev orthogonal polynomialses
dc.subjectMultivariate orthogonal polynomialses
dc.titleOn Sobolev orthogonal polynomials on a trianglees
dc.typeinfo:eu-repo/semantics/articlees

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