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Weighted Integral Inequalities of Ostrowski, Čebyšev and Lupaş Type with Applications
Version 1
: Received: 25 June 2018 / Approved: 26 June 2018 / Online: 26 June 2018 (11:35:58 CEST)
How to cite: Dragomir, S. Weighted Integral Inequalities of Ostrowski, Čebyšev and Lupaş Type with Applications. Preprints 2018, 2018060411. https://doi.org/10.20944/preprints201806.0411.v1 Dragomir, S. Weighted Integral Inequalities of Ostrowski, Čebyšev and Lupaş Type with Applications. Preprints 2018, 2018060411. https://doi.org/10.20944/preprints201806.0411.v1
Abstract
In this paper we establish some weighted integral inequalities of Ostrowski, Čebyšev and Lupaş type. Applications for continuous probability density functions supported on infinite intervals with two examples are also given.
Keywords
Ostrowski's inequality; Čebyšev inequality; Lupaş inequality; weighted integrals; probability density functions; cumulative probability function
Subject
Computer Science and Mathematics, Analysis
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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