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The Median Principle for Inequalities and Applications

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Functional Equations, Inequalities and Applications

Abstract

The “Median Principle” for different integral inequalities of Grüss and Ostrowski type is applied.

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References

  1. P. Cerone and S.S. Dragomir: ‘A Refinement of the Grüss Inequality and Applications’, RGMIA Res. Rep. Coll. 5 No. 2 (2002), Article 14. [online: http://rgmia.vu.edu.au/v5n2.html].

  2. P. Cerone, S.S. Dragomir and J. Roumeliotis: ‘Some Ostrowski type inequalities for n-time differentiable mappings and applications’, Demonstratio Mathematica 32 No. 2 (1999), 697–712.

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  3. P. Cerone, S.S. Dragomir, J. Roumeliotis and J. Sunde: `A new generalistion of the trpezoid formula for n-time differentiable mappings and applications’, Demonstratio Mathematica 33 No. 4 (2000), 719–736.

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  4. X.-L. Cheng and J. Sun: ‘Note on the perturbed trapezoid inequality’, J. Ineq. Pure. & Appl. Math. 3 No. 2 (2002), Article 29. [online: http://jipam.vu.edu.au/v3n2/046_01.html]

  5. S.S. Dragomir: ‘Improvements of Ostrowski and Generalised Trapezoid Inequality in Terms of the Upper and Lower Bounds of the First Derivative’, RGMIA Res. Rep. Coll. 5 (2002), Supplement, Article 10. [online. http://rgmia.vu.edu.au/v5(E).html]

  6. S.S. Dragomir: ‘Sharp bounds of Cebysev functional for Stieltjes integrals and application’ (in preparation).

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  7. A. Ostrowski: ‘On an integral inequality’, Aequat. Math. 4 (1970), 358–373.

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Author information

Authors and Affiliations

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

    Sever S. Dragomir

Authors
  1. Sever S. Dragomir
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Editor information

Editors and Affiliations

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

    Themistocles M. Rassias

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© 2003 Springer Science+Business Media Dordrecht

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Dragomir, S.S. (2003). The Median Principle for Inequalities and Applications. In: Rassias, T.M. (eds) Functional Equations, Inequalities and Applications. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0225-6_3

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  • DOI: https://doi.org/10.1007/978-94-017-0225-6_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6406-6

  • Online ISBN: 978-94-017-0225-6

  • eBook Packages: Springer Book Archive

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