Three point identities and inequalities for \(n\)-time[s] differentiable functions (Q2716872)
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scientific article; zbMATH DE number 1599534
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Three point identities and inequalities for \(n\)-time[s] differentiable functions |
scientific article; zbMATH DE number 1599534 |
Statements
9 April 2002
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three point identities and inequalities
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Ostrowski and Grüss inequalities
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Newton-Cotes quadrature
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Three point identities and inequalities for \(n\)-time[s] differentiable functions (English)
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The authors obtain a variety of identities for \(n\)-times differentiable functions of an argument. Specific forms and a generalized Taylor-like expansion is deduced. Then inequalities as well as applications of the obtained inequalities to numerical integration are pointed out. The general formulation enables the authors to extend a number of results proved by other authors. The formulae are too complicated to be inserted here.
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