Uniqueness and computation of Gaussian interval quadrature formula for Jacobi weight function

Authors:
Gradimir V. Milovanović;Aleksandar S. Cvetković
Affiliations:
University of Niš, Faculty of Electronic Engineering, Department Mathematics, 73, 18000, Niš, Serbia;University of Niš, Faculty of Electronic Engineering, Department Mathematics, 73, 18000, Niš, Serbia
Venue:
Numerische Mathematik
Year:
2004

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Abstract

In this paper we prove the uniqueness of the Gaussian interval quadrature formula for the Jacobi weight function. An algorithm for numerical construction has also investigated and some suitable solutions are proposed. For the special case of Chebyshev weight of the first kind and the special set of lengths we give an analytic solution.