|
|
|
|
Volume 3, Issue 2, Article 29 |
|
|
|
|
|
|
Note on the Perturbed Trapezoid Inequality
|
|
|
Authors: |
Xiao-liang Cheng, Jie Sun, |
|
|
|
Keywords:
|
Grüss inequality, Perturbed trapezoid inequality, Sharp bounds. |
|
|
|
Date Received:
|
21/05/01 |
|
|
|
Date Accepted:
|
01/02/02 |
|
|
|
Subject Codes: |
26D15,26D10
|
|
|
|
Editors: |
Neil S. Barnett, |
|
|
|
|
|
|
|
|
|
Abstract: |
In this paper we utilize a variant of the Grüss inequality to obtain some new perturbed trapezoid inequalities. We improve the error bound of the trapezoid rule in numerical integration in some recent known results.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|