A perturbation of Taylor's formula with integral remainder (Q2775850)
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scientific article; zbMATH DE number 1714105
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A perturbation of Taylor's formula with integral remainder |
scientific article; zbMATH DE number 1714105 |
Statements
2 March 2004
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Taylor's formula
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special means
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numerical quadrature rules
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analytic inequalities
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A perturbation of Taylor's formula with integral remainder (English)
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The authors employ the classical Taylor's formula with the integral remainder and apply it in numerical analysis, particularly in the theory of special means (logarithm mean, identric mean, generalized logarithm mean, etc.) as well as in obtaining some analytic inequalities for certain usual mappings. A new theorem of a perturbation of Taylor's formula with integral remainder is also proved.
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