A NEW INEQUALITY OF OSTROWSKI'S TYPE IN $L_1$ NORM AND APPLICATIONS TO SOME SPECIAL MEANS AND TO SOME NUMERICAL QUADRATURE RULES

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Published: Sep 1, 1997
DOI: https://doi.org/10.5556/j.tkjm.28.1997.4320
Keywords:
Ostrowsri inequality Special means Adaptive quadrature rules

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SEVER S. DRAGOMIR
Department of Applied Mathematics, The University of Transkei, South Africa.
SONG WANG
School of Mathematics and Statistics, Curtin University of Technology, Perth 6854, Australia.

Abstract




In this paper we prove a new Ostrowski's inequality in $L_1$-norm and apply it to the estimation of error bounds for some special means and for some numerical quadrature rules.




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How to Cite
DRAGOMIR, S. S., & WANG, S. (1997). A NEW INEQUALITY OF OSTROWSKI’S TYPE IN $L_1$ NORM AND APPLICATIONS TO SOME SPECIAL MEANS AND TO SOME NUMERICAL QUADRATURE RULES. Tamkang Journal of Mathematics, 28(3), 239–244. https://doi.org/10.5556/j.tkjm.28.1997.4320
Issue
Vol. 28 No. 3 (1997)
Section
Papers
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References

S. S. Dragomir and S. Wang, "Applications of Ostrowski's inequality to the estimation of error bounds for some special means and for some numerical quadrature rules," submitted.

D.S. Mitrinovic, J.E . Pecaric and A. M. Fink, Inequalities for Functions and Their Integrals and Derivatives, Kluwer Academic Publishers, Dordrecht-Boston-London 1994.