Optimal quadratures for analytic functions
✍ Scribed by M. M. Chawla; B. L. Raina
- Publisher
- Springer Netherlands
- Year
- 1972
- Tongue
- English
- Weight
- 621 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0006-3835
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
For analytic functions the remainder term of Gaussian quadrature formula and its Kronrod extension can be represented as a contour integral with a complex kernel. We study these kernels on elliptic contours with foci at the points ±1 and the sum of semi-axes > 1 for the Chebyshev weight functions of
For analytic functions the remainder term of Gauss-Lobatto quadrature rules can be represented as a contour integral with a complex kernel. In this paper the kernel is studied on elliptic contours for the Chebyshev weight functions of the second, third, and fourth kind. Starting from explicit expres
For analytic functions the remainder term of Gauss-Radau quadrature formulae can be represented as a contour integral with a complex kernel. We study the kernel on elliptic contours with foci at the points ±1 and a sum of semi-axes > 1 for the Chebyshev weight function of the second kind. Starting f
In this paper we find some exact values of \(n\)-widths in the integral metric with the Chebyshev weight function for the classes of functions that are bounded and analytic or harmonic in the interior of the ellipse with foci \(\pm 1\) and sum of semiaxes \(c\). We also construct optimal quadrature