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Asymptotic expressions for remainder terms of some quadrature rules

✍ Scribed by Nenad Ujević; Nataša Bilić

Book ID
111488467
Publisher
SP Versita
Year
2008
Tongue
English
Weight
268 KB
Volume
6
Category
Article
ISSN
1895-1074

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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