Sharp inequality of three point Gauss-Legendre quadrature rule

Sharp inequality of three point Gauss-Legendre quadrature rule

Abstract: An interesting identity for 3-point Gauss-Legendre quadrature rule using functions that are n-times differentiable. By applying the established identity, a sharp inequality which gives an error bound for 3-point Gauss-Legendre quadrature rule and some generalizations are derived. At the en...

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Autor principal: Kashuri,Artion
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2020
Materias:
Gauss quadrature formula
Hölder inequality
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000300639
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spelling oai:scielo:S0716-091720200003006392020-06-17Sharp inequality of three point Gauss-Legendre quadrature ruleKashuri,Artion Gauss quadrature formula Hölder inequality Abstract: An interesting identity for 3-point Gauss-Legendre quadrature rule using functions that are n-times differentiable. By applying the established identity, a sharp inequality which gives an error bound for 3-point Gauss-Legendre quadrature rule and some generalizations are derived. At the end, an application in numerical integration is given.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.3 20202020-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000300639en10.22199/issn.0717-6279-2020-03-0039
institution Scielo Chile
collection Scielo Chile
language English
topic Gauss quadrature formula
Hölder inequality
spellingShingle Gauss quadrature formula
Hölder inequality
Kashuri,Artion
Sharp inequality of three point Gauss-Legendre quadrature rule
description Abstract: An interesting identity for 3-point Gauss-Legendre quadrature rule using functions that are n-times differentiable. By applying the established identity, a sharp inequality which gives an error bound for 3-point Gauss-Legendre quadrature rule and some generalizations are derived. At the end, an application in numerical integration is given.
author Kashuri,Artion
author_facet Kashuri,Artion
author_sort Kashuri,Artion
title Sharp inequality of three point Gauss-Legendre quadrature rule
title_short Sharp inequality of three point Gauss-Legendre quadrature rule
title_full Sharp inequality of three point Gauss-Legendre quadrature rule
title_fullStr Sharp inequality of three point Gauss-Legendre quadrature rule
title_full_unstemmed Sharp inequality of three point Gauss-Legendre quadrature rule
title_sort sharp inequality of three point gauss-legendre quadrature rule
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2020
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000300639
work_keys_str_mv AT kashuriartion sharpinequalityofthreepointgausslegendrequadraturerule
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