On certain definite quadrature formulae
β Scribed by Geno Nikolov
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 1006 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
β¦ Synopsis
Gauss and Lobatto quadrature formulae related to spaces of cubic splines with double and equidistant knots are constructed. Such quadrature formulae are known as asymptotically optimal definite formulae of order 4. Some monotonicity results concerning the associated quadrature processes are established.
π SIMILAR VOLUMES
We study the kernel of the remainder term of Gauss quadrature rules for analytic functions with respect to one class of Bernstein-SzegΓΆ weight functions. The location on the elliptic contours where the modulus of the kernel attains its maximum value is investigated. This leads to effective error bou