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Generalizations of Some Classical Inequalities via a Special Functional Property

Masjed-Jamei, Mohammad and Qi, Feng and Srivastava, Hari M (2008) Generalizations of Some Classical Inequalities via a Special Functional Property. Research report collection, 11 (4).

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Abstract

In this paper, by using a special functional property, we generalize some well-known inequalities such as Cauchy-Schwarz’s, Cauchy-Buniakowski’s, Čebyšev’s, Steffensen’s and Aczél’s inequalities. We also present some interesting corollaries and consequences of the general results derived here.

Item Type: Article
Uncontrolled Keywords: Aczél's inequality, Cauchy-Schwarz's inequality, Cauchy-Buniakowski's inequality, Čebyšev's integral inequality, Steffensen's integral inequality, generalizations, corollaries and consequences, linear functionals
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: 23 May 2013 16:51
URI: http://vuir.vu.edu.au/id/eprint/17648
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