A new proof of inequality for continuous linear functionals
type: Item
instance of: scholarly article
title: A new proof of inequality for continuous linear functionals
zbMATH Open document ID: 1225.26057
DOI: 10.1155/2011/179695
author: Feng Cui
author: Shijun Yang
published in: Journal of Inequalities and Applications
publication date: 2011-05-13T00:00:00Z
full work available at URL: https://eudml.org/doc/224399
review text: 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.
reviewed by: László Tóth
Mathematics Subject Classification ID: 26D20
zbMATH DE Number: 5887666
zbMATH Keywords: continuous linear functional
zbMATH Keywords: Hilbert space
zbMATH Keywords: numerical integration
zbMATH Keywords: numerical quadrature
Wikidata QID: Q59266786
MaRDI profile type: Publication
OpenAlex ID: W1981758581
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description: scientific article; zbMATH DE number 5887666