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Ostrowski Via a Two Functions Pompeiu's Inequality

Silvestru Sever Dragomir

Silvestru Sever Dragomir

  • Mathematics, College of Engineering & Science Victoria University, PO Box 14428Melbourne City, Australia
  • DST-NRF Center of Excellence in the Mathematical and Statistical Sciences, School of Computer Science & Applied Mathematics, University of the Witwatersrand, Private Bag 3,Johannesburg, South Africa
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Dragomir, Silvestru Sever
  
Sep 21, 2017
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Published Online: Sep 21, 2017
Page range: 123 - 139
Received: Mar 23, 2015
Accepted: Jul 21, 2015
DOI: https://doi.org/10.1515/auom-2016-0051
Keywords
© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In this paper, some generalizations of Pompeiu's inequality for two complex-valued absolutely continuous functions are provided. They are applied to obtain some new Ostrowski type results. Reverses for the integral Cauchy-Bunyakovsky-Schwarz inequality are provided as well.

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics
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