|
JIPAM
| On Error Bounds for Gauss-Legendre and Lobatto Quadrature Rules |
|
|
|
|
| |
| |
Authors: |
Szymon Wasowicz, |
|
| |
Keywords:
|
Convex functions of higher orders, Approximate integration, Quadrature rules. |
|
| |
Date Received:
|
04/01/06 |
|
| |
Date Accepted:
|
07/06/06 |
|
| |
Subject Codes: |
Pri: 41A55, 41A80 Sec: 26A51, 26D15.
|
|
| |
Editors: |
Narendra K. Govil, |
|
| |
|
|
|
|
| |
Abstract: |
The error bounds for Gauss-Legendre and Lobatto quadratures are proved for
four times differentiable functions (instead of six times differentiable functions as in the classical results). Auxiliarily we establish some inequalities for 3-convex functions.;
|
This article was printed from JIPAM
http://jipam.vu.edu.au
The URL for this article is:
http://jipam.vu.edu.au/article.php?sid=704
|