THE BEST CONSTANT IN AN INEQUALITY OF OSTROWSKI TYPE

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Published: Sep 1, 1999
DOI: https://doi.org/10.5556/j.tkjm.30.1999.4228
Keywords:
Ostrowski inequality

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T. C. PEACHEY
School of Communications and Informatics, Victoria University of Technology, PO Box 14428, Melbourne City MC, Victoria 8001, Australia.
A. MCANDREW
School of Communications and Informatics, Victoria University of Technology, PO Box 14428, Melbourne City MC, Victoria 8001, Australia.
S. S. DRAGOMIR
School of Communications and Informatics, Victoria University of Technology, PO Box 14428, Melbourne City MC, Victoria 8001, Australia.

Abstract




We prove the constant $\frac{1}{2}$ in Dragomir-Wang's inequality [2] is best.




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How to Cite
PEACHEY, T. C., MCANDREW, A., & DRAGOMIR, S. S. (1999). THE BEST CONSTANT IN AN INEQUALITY OF OSTROWSKI TYPE. Tamkang Journal of Mathematics, 30(3), 219–222. https://doi.org/10.5556/j.tkjm.30.1999.4228
Issue
Vol. 30 No. 3 (1999)
Section
Papers
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References

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

S. S. Dragomir and S. Wang, A new inequality of Ostrowski's type in L1 norm and appli­cations to some special means and some numerical quadrature rules, Tamkang J. of Math 28(1997), 239-244.

S. S. Dragomir, On the Ostrowski's inequality for mappings with bounded variation and applications, RGMIA, Research Report Collection, 2(1999), 73-80.

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