Research Repository
An Integral Inequality for Twice Differentiable Mappings and Applications
Export Tools
Dragomir, Sever S and Sofo, Anthony (1999) An Integral Inequality for Twice Differentiable Mappings and Applications. RGMIA research report collection, 2 (2).
![]() |
Text
IntInqlity.pdf Download (152kB) |
Abstract
An integral inequality is developed from which when applied to composite quadrature rules in numerical integration it is proved that there is a three fold improvement in the remainder of the classical averages of the Midpoint and Trapezoidal quadratures. Inequalities for special means are also given.
Item Type: | Article |
---|---|
Uncontrolled Keywords: | integral inequalities, quadrature formulae |
Subjects: | FOR Classification > 0102 Applied Mathematics FOR Classification > 0103 Numerical and Computational Mathematics Collections > Research Group in Mathematical Inequalities and Applications (RGMIA) |
Depositing User: | Research Group in Mathematical Inequalities and Applications |
Date Deposited: | 19 Jul 2012 01:25 |
Last Modified: | 23 May 2013 16:49 |
URI: | http://vuir.vu.edu.au/id/eprint/17196 |
ePrint Statistics: | View download statistics for this item |
Repository staff only
![]() |
View Item |