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

Gauss-Lobatto quadrature formulae associated with symmetric weight function s 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 i ntersection 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. Sc hira concerning Gaussian quadratures.