The Iyengar-type inequality (Q5950674)
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scientific article; zbMATH DE number 1684853
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Iyengar-type inequality |
scientific article; zbMATH DE number 1684853 |
Statements
The Iyengar-type inequality (English)
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2 January 2002
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Iyengar-type inequality
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second-order derivatives
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midpoint
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interval
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The author establishes an Iyengar-type inequality involving second-order derivatives. Compared with the recent known results, the new inequality does not involve the derivative of the midpoint of the interval, and it is an improvement for estimating some numerical integrations of particular differentiable functions such as \(f(t)=t^n\) in [0,1]. NEWLINENEWLINENEWLINEReviewers remark: It is useful for applications of estimating some numerical integrations.
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