On the error term of symmetric Gauss-Lobatto quadrature formulae for analytic functions

Gauss-Lobatto quadrature formulae associated with symmetric weight functions are considered. The kernel of the remainder term for classes of analytic functions is investigated on elliptical contours. Sufficient conditions are found ensuring that the kernel attains its maximal absolute value at the intersection point of the contour with either the real or the imaginary axis. The results obtained here are an analogue of some recent results of T. Schira concerning Gaussian quadratures.

• Type: Journal
• Year: 2000
• Where: MOC
• Authors: David Hunter, Geno Nikolov
• Keywords: Elliptical Contours, Maximal Absolute Value, MOC 2000, Symmetric Weight Functions