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On the Ostrowski’s inequality for Riemann-Stieltjes integral and applications

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Abstract

An Ostrowski type integral inequality for the Riemann-Stieltjes integral ∫ ba ƒ (t) du (t), where ƒ is assumed to be of bounded variation on [a,b] andu is ofr-H- Hölder type on the same interval, is given. Applications to the approximation problem of the Riemann-Stieltjes integral in terms of Riemann-Stieltjes sums are also pointed out.

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References

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Authors and Affiliations

  1. School of Communications and Informatics, Victoria University of Technology, PO Box 14428, 8001, Melbourne City, MC, Australia

    S. S. Dragomir

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  1. S. S. Dragomir
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Correspondence to S. S. Dragomir.

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Dragomir, S.S. On the Ostrowski’s inequality for Riemann-Stieltjes integral and applications. Korean J. Comput. & Appl. Math. 7, 611–627 (2000). https://doi.org/10.1007/BF03012272

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  • DOI: https://doi.org/10.1007/BF03012272

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