THE BEST CONSTANT IN AN INEQUALITY OF OSTROWSKI TYPE

Authors

  • 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.

DOI:

https://doi.org/10.5556/j.tkjm.30.1999.4228

Keywords:

Ostrowski inequality

Abstract

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

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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Published

1999-09-01

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

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