Derivative-based trapezoid rule for the Riemann-Stieltjes integral (Q1719295)
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scientific article; zbMATH DE number 7017502
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Derivative-based trapezoid rule for the Riemann-Stieltjes integral |
scientific article; zbMATH DE number 7017502 |
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Derivative-based trapezoid rule for the Riemann-Stieltjes integral (English)
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8 February 2019
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Summary: The derivative-based trapezoid rule for the Riemann-Stieltjes integral is presented which uses 2 derivative values at the endpoints. This kind of quadrature rule obtains an increase of two orders of precision over the trapezoid rule for the Riemann-Stieltjes integral and the error term is investigated. At last, the rationality of the generalization of derivative-based trapezoid rule for Riemann-Stieltjes integral is demonstrated.
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0.9288975
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0.90691817
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0.8981049
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0.88168603
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