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Error Estimates in Gaussian Quadrature for Functions of Bounded Variation

✍ Scribed by Klaus-Jurgen Forster and Knut Petras


Book ID
124930718
Publisher
Society for Industrial and Applied Mathematics
Year
1991
Tongue
English
Weight
857 KB
Volume
28
Category
Article
ISSN
0036-1429

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Error estimates for Gaussian quadratures
✍ 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