Generalizations of Some Classical Inequalities via a Special Functional Property

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

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
URI https://vuir.vu.edu.au/id/eprint/17648
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
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
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