A new Ostrowski type inequality involving integral means over end intervals

Authors

  • P. Cerone

DOI:

https://doi.org/10.5556/j.tkjm.33.2002.290

Abstract

The Ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The current article obtains bounds for the deviation of a function from a combination of integral means over the end intervals covering the entire interval. Perturbed expressions are also determined via the Chebychev functional. A variety of earlier results are recaptured as particular instances of the current development.

Author Biography

P. Cerone

School of communications and informatics, Victoria University of Technology, P.O. Box 14428, Melbourne City MC, Victoria 8001, Australia.

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Published

2002-06-30

How to Cite

Cerone, P. (2002). A new Ostrowski type inequality involving integral means over end intervals. Tamkang Journal of Mathematics, 33(2), 109-118. https://doi.org/10.5556/j.tkjm.33.2002.290

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Section

Papers