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Gaussian interval quadrature formula

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Summary.

We prove the existence of a Gaussian quadrature formula for Tchebycheff systems, based on integrals over non-overlapping subintervals of arbitrary fixed lengths and the uniqueness of this formula in the case the subintervals have equal lengths.

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Authors and Affiliations

  1. Department of Mathematics, University of Sofia, Boul. J. Boucher 5, 1164 Sofia, Bulgaria; e-mail: boris@fmi.uni-sofia.bg , , , , , , BG

    Borislav D. Bojanov & Petar P. Petrov

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  1. Borislav D. Bojanov
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  2. Petar P. Petrov
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Received July 6, 1999 / Published online August 24, 2000

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Bojanov, B., Petrov, P. Gaussian interval quadrature formula. Numer. Math. 87, 625–643 (2001). https://doi.org/10.1007/PL00005426

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  • DOI: https://doi.org/10.1007/PL00005426

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