Uniqueness of the Gaussian interval quadrature formula
β Scribed by B. Bojanov; P. Petrov
- Publisher
- Springer-Verlag
- Year
- 2003
- Tongue
- English
- Weight
- 143 KB
- Volume
- 95
- Category
- Article
- ISSN
- 0029-599X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
More general and stronger estimations of bounds for the fundamental functions of Hermite interpolation of high order on an arbitrary system of nodes on infinite intervals are given. Based on this result, convergence of Gaussian quadrature formulas for Riemann-Stieltjes integrable functions on an arb
Convergence of a general Gaussian quadrature formula is shown and its rate of convergence is also given.
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