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

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Masjed-Jamei, Mohammad, 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).

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
URI https://vuir.vu.edu.au/id/eprint/17627
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords generalization and refinement of the Cauchy-Schwarz inequality, Wagner inequality, Cauchy-Bunyakovsky inequality
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