Asymptotic properties and the convergence of numerical quadratures
✍ Scribed by Jozef Mikloŝko
- Publisher
- Springer-Verlag
- Year
- 1970
- Tongue
- English
- Weight
- 648 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0029-599X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Stieltjes polynomials are orthogonal polynomials with respect to the sign changing weight function \(w P_{n}(\cdot, w)\), where \(P_{n}(\cdot, w)\) is the \(n\)th orthogonal polynomial with respect to w. Zeros of Stieltjes polynomials are nodes of Gauss-Kronrod quadrature formulae, which are basic f
We analyze the convergence behavior of Filon-type quadrature rules by making explicit the dependence on both k, the parameter that controls the oscillatory behavior of the integrand, and n, the number of function evaluations. We provide explicit conditions on the domain of analyticity of the integra