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Convergence of Gauss-Christoffel formula with preassigned node for Cauchy principal-value integrals - MaRDI portal

Convergence of Gauss-Christoffel formula with preassigned node for Cauchy principal-value integrals (Q1096114)

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scientific article; zbMATH DE number 4030177
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English
Convergence of Gauss-Christoffel formula with preassigned node for Cauchy principal-value integrals
scientific article; zbMATH DE number 4030177

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    Convergence of Gauss-Christoffel formula with preassigned node for Cauchy principal-value integrals (English)
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    1987
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    The authors consider the Gauss-Christoffel formulas with preassigned node 0 for evaluating certain Cauchy singular integrals with an even generalized Jacobi weight. They prove several lemmas and an interesting convergence theorem, and establish various asymptotic estimates for the remainder.
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    Gauss-Christoffel formulas
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    Cauchy singular integrals
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    Jacobi weight
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    asymptotic estimates
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    remainder
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