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• W2040528061 abstract "In this paper, we give the canonical expression for an inner product (delined in P the linear space of real polynomials), for which the set of orthonormal polynomials satisfies a (2 N + 1)-term recurrence relation. This result is a generalization of Favard′s theorem about orthogonal polynomials and three-term recurrence relations. Also, we characterize these inner products in terms of symmetric operators. Similar results are proved for some kinds of discrete Sobolev inner products." @default.
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• W2040528061 date "1993-07-01" @default.
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• W2040528061 title "A Generalization of Favard′s Theorem for Polynomials Satisfying a Recurrence Relation" @default.
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• W2040528061 doi "https://doi.org/10.1006/jath.1993.1055" @default.
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