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A Survey on Ostrowski Type Inequalities for Riemann–Stieltjes Integral

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Handbook of Functional Equations

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 95))

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Abstract

Some Ostrowski type inequalities for the Riemann–Stieltjes integral for various classes of integrands and integrators are surveyed. Applications for the midpoint rule and a generalised trapezoidal type rule are also presented.

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Author information

Authors and Affiliations

  1. Department of Mathematics, The University of Hong Kong, Pokfulam, Hong Kong

    W. S. Cheung

  2. Mathematics, School of Engineering & Science, Victoria University, Melbourne City, PO Box 14428, MC, 8001, Australia

    Sever S. Dragomir

Authors
  1. W. S. Cheung
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  2. Sever S. Dragomir
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Corresponding author

Correspondence to W. S. Cheung .

Editor information

Editors and Affiliations

  1. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

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Cheung, W., Dragomir, S. (2014). A Survey on Ostrowski Type Inequalities for Riemann–Stieltjes Integral. In: Rassias, T. (eds) Handbook of Functional Equations. Springer Optimization and Its Applications, vol 95. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-1246-9_5

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