Error bounds for rational quadrature formulae of analytic functions
β Scribed by Bernardo de la Calle Ysern
- Publisher
- Springer-Verlag
- Year
- 2005
- Tongue
- English
- Weight
- 230 KB
- Volume
- 101
- Category
- Article
- ISSN
- 0029-599X
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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
We consider the problem of integrating a function f : [-1, l] -+ R which has an analytic extension f to an open disk Dr of radius r and center the origin, such that If(z)] 5 1 for any z E d,. The goal of this paper is to study the minimal error among all algorithms which evaluate the integrand at t