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Relative asymptotics for orthogonal polynomials with unbounded recurrence coefficients

✍ Scribed by Jeffrey S Geronimo; Walter Van Assche


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
741 KB
Volume
62
Category
Article
ISSN
0021-9045

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Relative Asymptotics for Orthogonal Poly
✍ F. Marcellan; W. Vanassche πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 413 KB

We investigate orthogonal polynomials for a Sobolev type inner product \(\langle f, g\rangle=(f, g)+\lambda f^{\prime}(c) g^{\prime}(c)\), where \((f, g)\) is an ordinary inner product in \(L_{2}(\mu)\) with \(\mu\) a positive measure on the real line. We compare the Sobolev orthogonal polynomials w