APPLICATIONS OF IYENGAR'S TYPE INEQUALITIES TO THE ESTIMATION OF ERROR BOUNDS FOR THE TRAPEZOIDAL QUADRATURE RULE

Article Sidebar

PDF
Published: Mar 1, 1998
DOI: https://doi.org/10.5556/j.tkjm.29.1998.4299
Keywords:
Unknown

Main Article Content

SEVERS DRAGOMIR
Department of Applied Mathematics, the University of Transkey, South Africa.
SONG WANG
School of Mathmatics and Statistics Curtin Univcrsity of Technology, GPO Box U1987, Perth 6001, Australia.

Abstract




In this paper we discuss some applications of the classical Iyengar'a inequality and its generalization by Agarwal and Drngomir [1] to the estimation of error bounds for the trapezoidal quadrature rule in numeracal integration.




Article Details

How to Cite
DRAGOMIR, S. ., & WANG, S. (1998). APPLICATIONS OF IYENGAR’S TYPE INEQUALITIES TO THE ESTIMATION OF ERROR BOUNDS FOR THE TRAPEZOIDAL QUADRATURE RULE. Tamkang Journal of Mathematics, 29(1), 55–58. https://doi.org/10.5556/j.tkjm.29.1998.4299
Issue
Vol. 29 No. 1 (1998)
Section
Papers
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

References

R. P. Agarwal and S. S. Dragomir, "An application of Hayashi's inequality for differentiable functions," Computers Math. Appl., 32(6)(1996), 95-99.

D.S . Mitrinvoic, J. E. Pccaric and A. M. Fink, Classical and New Inequalities in Analysis, Kluwer Academic Publishers, Dordrccht-13oston-London, 1993.

D. S. Mitrinovic, .J. E. Pccaric and A. M. Fink, Inequalities for functions and their integrals and derivatives, Kluwer Academic Publishers, Dordrccht-Doston-LonJon, 1994.