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Error estimates for Gaussian quadrature

✍ Scribed by Frank G. Lether

Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
613 KB
Volume
7
Category
Article
ISSN
0096-3003

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πŸ“œ SIMILAR VOLUMES

Error estimates for Gaussian quadratures
Error estimates for Gaussian quadratures of analytic functions
✍ Gradimir V. MilovanoviΔ‡; Miodrag M. SpaleviΔ‡; Miroslav S. PraniΔ‡ πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 417 KB

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 Β±1 and the sum of semi-axes > 1 for the Chebyshev weight functions of

Error estimates for some composite corre
Error estimates for some composite corrected quadrature rules
✍ Zheng Liu πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 341 KB

The asymptotic behaviour of the error for a general quadrature rule is established and it is applied to some composite corrected quadrature rules.

Error bounds of certain Gaussian quadrat
Error bounds of certain Gaussian quadrature formulae
✍ Miodrag M. SpaleviΔ‡; Miroslav S. PraniΔ‡ πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 322 KB

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