A Generalization of Favardβ²s Theorem for
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A.J. Duran
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Article
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1993
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Elsevier Science
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English
β 744 KB
In this paper, we give the canonical expression for an inner product (defined in \(\mathscr{P}\), 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