On Birkhoff quadrature formulas. II
β Scribed by A. K. Varma
- Publisher
- Akadmiai Kiad
- Year
- 1993
- Tongue
- English
- Weight
- 191 KB
- Volume
- 62
- Category
- Article
- ISSN
- 1588-2632
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π SIMILAR VOLUMES
Existence of a generalized Gaussian Birkhoff quadrature formula is proved for a wide class of incidence matrices which satisfy the delayed PΓ³lya conditions and contain no odd non-Hermitian sequences in the interior rows. 1995 Academic Press, Inc.
The main object of this paper is to construct a Birkhoff quadrature formula of the form which is exact for the polynomials of degree < 2n + 2k + 1. We construct the formula when the nodes {Xi}; and {zt}F-' are the zeros of the ultraspherical polynomials P~k'(z) and P,$""(z), respectively.
The generalized Markov Stieltjes inequalities for several kinds of generalized Gaussian Birkhoff quadrature formulas are given. 1996 Academic Press, Inc. (1.2) determined uniquely from being exact for all f # P 2m&1 , the space of all polynomials of degree at most 2m&1. As we know, for this Gauss