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The error norm of Gauss-Radau quadrature formulae for Chebyshev weight functions

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Abstract

In certain spaces of analytic functions the error term of the Gauss-Radau quadrature formula relative to a (nonnegative) weight function is a continuous linear functional. We compute or estimate the norm of the error functional for any one of the four Chebyshev weight functions.

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Authors and Affiliations

  1. Department of Mathematics, University of Athens, Panepistemiopolis, 15784, Athens, Greece

    Sotirios E. Notaris

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  1. Sotirios E. Notaris
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Correspondence to Sotirios E. Notaris.

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Communicated by Lothar Reichel.

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Notaris, S.E. The error norm of Gauss-Radau quadrature formulae for Chebyshev weight functions. Bit Numer Math 50, 123–147 (2010). https://doi.org/10.1007/s10543-010-0252-x

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  • DOI: https://doi.org/10.1007/s10543-010-0252-x

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