SOME COMPANIONS OF OSTROWSKI'S INEQUALITY FOR ABSOLUTELY CONTINUOUS FUNCTIONS AND APPLICATIONS

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 42, Issue 2, 2005, pp.213-230
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2005.42.2.213

Title & Authors

SOME COMPANIONS OF OSTROWSKI'S INEQUALITY FOR ABSOLUTELY CONTINUOUS FUNCTIONS AND APPLICATIONS

DRAGOMIR S. S.;

DRAGOMIR S. S.;

Abstract

Companions of Ostrowski's integral inequality for absolutely continuous functions and applications for composite quadrature rules and for p.d.J.'s are provided.

Keywords

Ostrowski's inequality;trapezoid rule;midpoint rule;

Language

English

Cited by

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References

1.

A. Guessab and G. Schmeisser, Sharp integral inequalities of the Hermite- Hadamard type, J. Approx. Theory 115 (2002), 260-288

2.

S. S. Dragomir and Th. M. Rassias (Ed.), Ostrowski type inequalities and applications in numerical integration, Kluwer Academic Publishers, Dor-drecht/Boston/London, 2002

3.

S. S. Dragomir, A refinement of Ostrowski's inequality for absolutely continuous functions whose derivatives belong to $L_{\infty}$ and applications, Libertas Math. 22 (2002), 49-64