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Regularity and Explicit Representation of (0, 1, ..., m-2, m)-Interpolation on the Zeros of the Jacobi Polynomials

✍ Scribed by Y.G. Shi

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 272 KB
Volume: 76
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.1994.1018

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✦ Synopsis

A necessary and sufficient condition of regularity of ((0,1, \ldots, m-2, m))-interpolation on the zeros of the Jacobi polynomials (P_{n}^{(x, \beta)}(x)(\alpha, \beta \geqslant-1)) in a manageable form is established. Meanwhile, the explicit representation of the fundamental polynomials, when they exist, is given. 1994 Academic Press, Inc.

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