An integral inequality for twice differentiable mappings and applications

Main Article Content

S. S. Dragomir
A. Sofo

Abstract

An integral inequality is developed from which when applied to composite quadrature rules in numerical integration it is proved that there is a three fold improvement in the remainder of the classical averages of the Midpoint and Trapezoidal quadratures. Inequalities for special means are also given.

Article Details

How to Cite
Dragomir, S. S., & Sofo, A. (2000). An integral inequality for twice differentiable mappings and applications. Tamkang Journal of Mathematics, 31(4), 257–266. https://doi.org/10.5556/j.tkjm.31.2000.382
Section
Papers
Author Biographies

S. S. Dragomir

School of Communications and Informatics, Victoria University of Technology, Melbourne, Australia.

A. Sofo

School of Communications and Informatics, Victoria University of Technology, Melbourne, Australia.

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