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On Some Inequalities Arising from Montgomery's Identity (Montgomery's Identity)

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Journal of Computational Analysis and Applications

Abstract

An identity due to Montgomery is utilized to obtain other identities from which a number of novel inequalities are developed. The work also recaptures some of the existing results as special cases, such as the Mahajani inequality. Bounds are obtained for expressions involving moments, within a general framework.

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References

  1. N. S. Barnett and S. S. Dragomir, Some elementary inequalities for the expectation and variance of a random variable whose pdf is defined on a finite interval, RGMIA Res. Rep. Coll., 2(7), Article 12. [ONLINE] http://rgmia.vu.edu.au/v2n7.html, (1999).

  2. P. Cerone and S. S. Dragomir, Three point quadrature rules, involving, at most, a first derivative, RGMIA Res. Rep. Coll., 2(4), Article 8. [ONLINE] (1999). http://rgmia.vu.edu.au/v2n4.html

  3. P. Cerone and S. S. Dragomir, On some inequalities for the expectation and variance, RGMIA Res. Rep. Coll., 3(1), Article 7. [ONLINE] (2000). http://rgmia.vu.edu.au/v3n1.html

  4. S. S. Dragomir and A. McAndrew, On trapezoid inequality via a Gruss type result and applications, Tamkang J. of Math., accepted.

  5. S. S. Dragomir and S. Wang, Applications of Ostrowski's inequality to the estimation of error bounds for some special means and for some numerical quadrature rules, Appl. Math. Lett., 11, 105–109 (1998).

    Google Scholar 

  6. A. M. Fink, Bounds on the deviation of a function from its averages, Czech. Math. Journal, 42, No. 117, 289–310 (1992).

    Google Scholar 

  7. M. Matic, J. E. Pecaric, and N. Ujevic, On new estimation of the remainder in generalized Taylor's formula, Mathematical Inequalities and Applications, 2(3), 343–361 (1999).

    Google Scholar 

  8. D. S. Mitrinovic, J. E. Pecaric, and A. M. Fink, Classical and New Inequalities in Analysis, Kluwer Academic Publishers, Dordrecht, 1993.

    Google Scholar 

  9. D. S. Mitrinovic, J. E. Pecaric, and A. M. Fink, Inequalities for Functions and Their Integrals and Derivatives, Kluwer Academic Publishers, Dordrecht, 1994.

    Google Scholar 

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Authors and Affiliations

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

    P. Cerone & S. S. Dragomir

Authors
  1. P. Cerone
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  2. S. S. Dragomir
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Cerone, P., Dragomir, S.S. On Some Inequalities Arising from Montgomery's Identity (Montgomery's Identity). Journal of Computational Analysis and Applications 5, 341–367 (2003). https://doi.org/10.1023/A:1024575230516

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  • DOI: https://doi.org/10.1023/A:1024575230516

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