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Relative Asymptotics for Orthogonal Polynomials with a Sobolev Inner Product

✍ Scribed by F. Marcellan; W. Vanassche

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
413 KB
Volume
72
Category
Article
ISSN
0021-9045

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✦ Synopsis

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 with the orthogonal polynomials corresponding to the measure (\mu) and analyse the five-term recurrence relation for the Sobolev orthogonal polynomials. e 1993 Academic Press, Inc.

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