A new proof of inequality for continuous linear functionals (Q535495)
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scientific article; zbMATH DE number 5887666
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new proof of inequality for continuous linear functionals |
scientific article; zbMATH DE number 5887666 |
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A new proof of inequality for continuous linear functionals (English)
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13 May 2011
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The authors offer a new proof for the inequality concerning a continuous linear functional which annihilates all polynomials of degree at most \(k-1\) for some positive integer \(k\), due to \textit{I. Gavrea} and \textit{M. Ivan} [Applied Math. Letters 23, No. 4, 381--384 (2010; Zbl 1231.26017)]. Applications related to numerical integration and quadrature are given.
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continuous linear functional
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Hilbert space
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numerical integration
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numerical quadrature
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