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WEIGHTED INTEGRAL INEQUALITIES OF OSTROWSKI, ČEBYŠEV AND LUPAŞ TYPE WITH APPLICATIONS

Part of: Inequalities

Published online by Cambridge University Press:  29 August 2018

SILVESTRU SEVER DRAGOMIR Open the ORCID record for SILVESTRU SEVER DRAGOMIR [Opens in a new window]
SILVESTRU SEVER DRAGOMIR*
Affiliation:
Mathematics, College of Engineering and Science, Victoria University, PO Box 14428, Melbourne, Victoria 8001, Australia email sever.dragomir@vu.edu.au DST-NRF Centre of Excellence in the Mathematical and Statistical Sciences, School of Computer Science and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050, South Africa
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Abstract

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We establish some weighted integral inequalities of Ostrowski, Čebyšev and Lupaş type and give applications for continuous probability density functions supported on infinite intervals.

Keywords

Ostrowski inequalityČebyšev inequalityLupaş inequalityweighted integralprobability density functioncumulative probability function

MSC classification

Primary: 26D15: Inequalities for sums, series and integrals
Secondary: 26D10: Inequalities involving derivatives and differential and integral operators
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 98 , Issue 3 , December 2018 , pp. 439 - 447
Copyright
© 2018 Australian Mathematical Publishing Association Inc. 

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