Hessenberg – Sobolev matrices and Favard type theorem

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dc.contributor.authorIgnacio Pérez Yzquierdo
dc.date.accessioned2024-08-02T15:46:24Z
dc.date.available2024-08-02T15:46:24Z
dc.date.issued2022-12-01
dc.description.abstractWe study the relation between certain non-degenerate lower Hessenberg infinite matrices G and the existence of sequences of orthogonal polynomials with respect to Sobolev inner products. In other words, we extend the well-known Favard theorem for Sobolev orthogonality. We characterize the structure of the matrix G and the associated matrix of formal moments MG in terms of certain matrix operators.
dc.identifier.citationPijeira-Cabrera, H., Decalo-Salgado, L. & Pérez-Yzquierdo, I. Hessenberg–Sobolev Matrices and Favard Type Theorem. Bull. Malays. Math. Sci. Soc. 46, 40 (2023).
dc.identifier.urihttps://repositoriovip.uasd.edu.do/handle/123456789/174
dc.titleHessenberg – Sobolev matrices and Favard type theorem
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