Volume 3,  Issue 2, 2002

Article 29

NOTE ON THE PERTURBED TRAPEZOID INEQUALITY

XIAO-LIANG CHENG AND JIE SUN

DEPARTMENT OF MATHEMATICS 
ZHEJIANG UNIVERSITY, XIXI CAMPUS 
ZHEJIANG 310028 
PEOPLE'S REPUBLIC OF CHINA
E-Mail: xlcheng@mail.hz.zj.cn

Received 21 May, 2001; Accepted 01 February, 2002.
Communicated by: N.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.
Key words:
Grüss inequality, Perturbed trapezoid inequality, Sharp bounds.

2000 Mathematics Subject Classification:
to be added later.


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