𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Generalized Gaussian Birkhoff Quadrature Formulas

✍ Scribed by Y.G. Shi

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
190 KB
Volume
82
Category
Article
ISSN
0021-9045

No coin nor oath required. For personal study only.

✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

The Generalized Markov–Stieltjes Inequal
The Generalized Markov–Stieltjes Inequality for Birkhoff Quadrature Formulas
✍ Ying Guang Shi πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 409 KB

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

Convergence of Gaussian Quadrature Formu
Convergence of Gaussian Quadrature Formulas
✍ Ying Guang Shi πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 124 KB

Convergence of a general Gaussian quadrature formula is shown and its rate of convergence is also given.

On Generalized Gaussian Quadratures for
On Generalized Gaussian Quadratures for Exponentials and Their Applications
✍ G. Beylkin; L. MonzΓ³n πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 358 KB

We introduce new families of Gaussian-type quadratures for weighted integrals of exponential functions and consider their applications to integration and interpolation of bandlimited functions. We use a generalization of a representation theorem due to CarathΓ©odory to derive these quadratures. For