A Sharp Bound of the Čebyšev Functional for the Riemann-Stieltjes Integral and Applications

<p/> <p>A new sharp bound of the &#268;eby&#353;ev functional for the Riemann-Stieltjes integral is obtained. Applications for quadrature rules including the trapezoid and midpoint rules are given.</p>

Bibliographic Details
Main Author: Dragomir SS
Format: Article
Language:English
Published: SpringerOpen 2008-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2008/824610
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spelling doaj-3ffc835cdfc44d7ea8cd2d2565dd9b502020-11-24T21:16:15ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2008-01-0120081824610A Sharp Bound of the &#268;eby&#353;ev Functional for the Riemann-Stieltjes Integral and ApplicationsDragomir SS<p/> <p>A new sharp bound of the &#268;eby&#353;ev functional for the Riemann-Stieltjes integral is obtained. Applications for quadrature rules including the trapezoid and midpoint rules are given.</p>http://www.journalofinequalitiesandapplications.com/content/2008/824610
collection DOAJ
language English
format Article
sources DOAJ
author Dragomir SS
spellingShingle Dragomir SS
A Sharp Bound of the &#268;eby&#353;ev Functional for the Riemann-Stieltjes Integral and Applications
Journal of Inequalities and Applications
author_facet Dragomir SS
author_sort Dragomir SS
title A Sharp Bound of the &#268;eby&#353;ev Functional for the Riemann-Stieltjes Integral and Applications
title_short A Sharp Bound of the &#268;eby&#353;ev Functional for the Riemann-Stieltjes Integral and Applications
title_full A Sharp Bound of the &#268;eby&#353;ev Functional for the Riemann-Stieltjes Integral and Applications
title_fullStr A Sharp Bound of the &#268;eby&#353;ev Functional for the Riemann-Stieltjes Integral and Applications
title_full_unstemmed A Sharp Bound of the &#268;eby&#353;ev Functional for the Riemann-Stieltjes Integral and Applications
title_sort sharp bound of the &#268;eby&#353;ev functional for the riemann-stieltjes integral and applications
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2008-01-01
description <p/> <p>A new sharp bound of the &#268;eby&#353;ev functional for the Riemann-Stieltjes integral is obtained. Applications for quadrature rules including the trapezoid and midpoint rules are given.</p>
url http://www.journalofinequalitiesandapplications.com/content/2008/824610
work_keys_str_mv AT dragomirss asharpboundofthe268eby353evfunctionalfortheriemannstieltjesintegralandapplications
AT dragomirss sharpboundofthe268eby353evfunctionalfortheriemannstieltjesintegralandapplications
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