Behavior of best Lp polynomial approximants on the unit interval and on the unit circle
β Scribed by X. Li; E.B. Saff; Z. Sha
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 771 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0021-9045
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π SIMILAR VOLUMES
We study the asymptotic behavior of the sequence of polynomials orthogonal with respect to the discrete Sobolev inner product on the unit circle is a M\_M positive definite matrix or a positive semidefinite diagonal block matrix, M=l 1 + } } } +l m +m, d+ belongs to a certain class of measures, and
Properties of second kind polynomials, and, in particular, conditions for second kind measures to be absolutely continuous are investigated. The asymptotic representation for second kind polynomials is obtained. Examples of generalized Jacobi weighted functions are considered. 1995 Academic Press. I