Kronrod extension of generalized Gauss-Radau and Gauss-Lobatto formulae (Q1360209)

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scientific article; zbMATH DE number 1036054
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Kronrod extension of generalized Gauss-Radau and Gauss-Lobatto formulae
scientific article; zbMATH DE number 1036054

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    Kronrod extension of generalized Gauss-Radau and Gauss-Lobatto formulae (English)
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    17 July 1997
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    In this interesting paper, the author studies Kronrod extensions of Gauss-Radau and Gauss-Lobatto quadrature formulae with the Chebyshev type weights \[ (1-t)^{\pm\frac12} (1+t)^{\pm\frac12} \] on \((-1,1)\). Explicit formulae are given for the Stieltjes polynomials, whose zeros are the additional points or abcissas of the quadrature formula. In addition, formulae are given for the weights in the quadrature formulae, and interlacing properties of zeros are studied.
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    Gauss-Kronrod quadrature
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    Chebyshev weights
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    Gauss-Lobatto quadrature
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    quadrature formulae
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