Asymptotic expansions for classical and generalized divided differences including applications (Q1334233)
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scientific article; zbMATH DE number 640739
| Language | Label | Description | Also known as |
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| English | Asymptotic expansions for classical and generalized divided differences including applications |
scientific article; zbMATH DE number 640739 |
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Asymptotic expansions for classical and generalized divided differences including applications (English)
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9 April 1995
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Classical divided differences of a function \(g \in C^ m(I)\) tend to \(g^{(m)}(x) /m!\) if all the nodes tend to \(x\). This result is improved in the sense that an asymptotic expansion is established, and extrapolation methods can be used. In the main part of the paper the results are extended to generalized divided differences in the sense of \textit{T. Popoviciu} [Mathematica Cluj 1, 95-142 (1959; Zbl 0091.246)].
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divided differences
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asymptotic expansion
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extrapolation methods
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0.81695556640625
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