Note on the Perturbed Trapezoid Inequality

Volume 3, Issue 2, 2002

Article 29

NOTE ON THE PERTURBED TRAPEZOID INEQUALITY

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.

Download this article (PDF):

Suitable for a printer:

Suitable for a monitor:

To view these files we recommend you save them to your file system and then view by using the Adobe Acrobat Reader.

That is, click on the icon using the 2nd mouse button and select "Save Target As..." (Microsoft Internet Explorer) or "Save Link As..." (Netscape Navigator).

See our PDF pages for more information.

Other papers in this issue

An Error Estimate for Finite Volume Methods for the Stokes Equations
A. Alami-Idrissi and M. Atounti

On Some Retarded Integral Inequalities and Applications
B.G. Pachpatte

Littlewood's Inequality for p-Bimeasures
Nasser Towghi

Monotonicity Properties of the Relative Error of a Padé Approximation for Mills' Ratio
Iosif Pinelis

Integral Inequalities of the Ostrowski Type
A.Sofo

Multidimensional Extension of L.C. Young's Inequality
Nasser Towghi

Inequalities for Lattice Constrained Planar Convex Sets
Poh Wah Hillock and Paul R. Scott

Some Results Concerning Best Uniform Coapproximation
Geetha S. Rao and R. Saravanan

Strongly Elliptic Operators for a Plane Wave Diffraction Problem in Bessel Potential Spaces
L.P. Castro

Some Integral Inequalities Involving Taylor's Remainder. I
Hillel Gauchman