Lagrange interpolation of functions of generalized bounded variation (Q1824778)

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scientific article; zbMATH DE number 4118868
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Lagrange interpolation of functions of generalized bounded variation
scientific article; zbMATH DE number 4118868

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    Lagrange interpolation of functions of generalized bounded variation (English)
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    1989
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    This paper estimates the rate of convergence for functions of generalized bounded variation by the Lagrange interpolation polynomials based on the zeros of the Jacobi polynomials. Meanwhile, the paper discusses what kind of condition implies that \(L_ n(f,x)-f(x)=O(1/n)\) ?
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    rate of convergence
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    Lagrange interpolation polynomials
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    Jacobi polynomials
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