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SOME COMPANIONS OF OSTROWSKI'S INEQUALITY FOR ABSOLUTELY CONTINUOUS FUNCTIONS AND APPLICATIONS

  • DRAGOMIR S. S. (SCHOOL OF COMMUNICATIONS AND INFORMATICS, VICTORIA UNIVERSITY OF TECHNOLOGY)
  • Published : 2005.05.01

Abstract

Companions of Ostrowski's integral inequality for absolutely continuous functions and applications for composite quadrature rules and for p.d.J.'s are provided.

Keywords

References

  1. A. Guessab and G. Schmeisser, Sharp integral inequalities of the Hermite- Hadamard type, J. Approx. Theory 115 (2002), 260-288 https://doi.org/10.1006/jath.2001.3658
  2. S. S. Dragomir and Th. M. Rassias (Ed.), Ostrowski type inequalities and applications in numerical integration, Kluwer Academic Publishers, Dor-drecht/Boston/London, 2002
  3. S. S. Dragomir, A refinement of Ostrowski's inequality for absolutely continuous functions whose derivatives belong to $L_{\infty}$ and applications, Libertas Math. 22 (2002), 49-64

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  6. A companion of Dragomir’s generalization of the Ostrowski inequality and applications to numerical integration vol.64, pp.4, 2012, https://doi.org/10.1007/s11253-012-0661-x
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