On some estimates of the remainder in Taylor's formula (Q5955584)
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scientific article; zbMATH DE number 1705570
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some estimates of the remainder in Taylor's formula |
scientific article; zbMATH DE number 1705570 |
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On some estimates of the remainder in Taylor's formula (English)
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9 March 2003
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The authors obtain various estimates for the remainder term in Taylor's formula. Cases when \(f^{(n-1)}\) is absolutely continuous, \(f^{(n)}\) is of \(r\)-Hölder type, \(L\)-Lipschitzian, monotonic, or convex, or are in \(L_2\), are separately studied. A final section deals with multivariate case estimates.
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estimates
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remainder term
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Taylor's formula
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