IJPAM: Volume 41, No. 6 (2007)

NEW GENERALIZATION OF PERTURBED TRAPEZOID,
MID-POINT INEQUALITIES AND APPLICATIONS

Wen-Jun Liu$^1$, Qiao-Ling Xue$^2$, Jian-Wei Dong$^3$
$^{1,2}$College of Mathematics and Physics
Nanjing University of Information Science and Technology
Nanjing, 210044, P.R. CHINA
$^1$e-mail: wjliu@nuist.edu.cn
$^2$e-mail: qlx_1@yahoo.com.cn
$^3$Department of Mathematics and Physics
Zhengzhou Institute of Aeronautical Industry Management
Zhengzhou, 450015, P.R. CHINA
e-mail: dongjianweiccm@163.com


Abstract.Uniform proofs, improvement of perturbed trapezoid and mid-point inequalities are established. Applications in numerical integration are also given.

Received: May 7, 2007

AMS Subject Classification: 26D10, 41A55, 65D30

Key Words and Phrases: perturbed mid-point inequality, perturbed trapezoid inequality, numerical integration

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 41
Issue: 6