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Some Generalizations of the Cauchy-Schwarz and the Cauchy-Bunyakovsky Inequalities Involving Four Free Parameters and their Applications

Masjed-Jamei, Mohammad and Dragomir, Sever S and Srivastava, Hari M (2008) Some Generalizations of the Cauchy-Schwarz and the Cauchy-Bunyakovsky Inequalities Involving Four Free Parameters and their Applications. Research report collection, 11 (3).

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Abstract

Some generalizations of the well-known Cauchy-Schwarz inequality and the analogous Cauchy-Bunyakovsky inequality involving four free parameters are given for both discrete and continuous cases. Several particular cases of interest are also analyzed. Some of the applications of our main results include (for example) the Wagner inequality.

Item Type: Article
Uncontrolled Keywords: generalization and refinement of the Cauchy-Schwarz inequality, Wagner inequality, Cauchy-Bunyakovsky inequality
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 10 Feb 2012 00:00
Last Modified: 24 May 2013 04:12
URI: http://vuir.vu.edu.au/id/eprint/17627
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