Title
Some generalizations of the Cauchy-Schwarz and the Cauchy-Bunyakovsky inequalities involving four free parameters and their applications
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.
Year
DOI
Venue
2009
10.1016/j.mcm.2008.09.014
Mathematical and Computer Modelling
Keywords
Field
DocType
main result,wagner inequality,particular case,continuous case,free parameter,analogous cauchy-bunyakovsky inequality,well-known cauchy-schwarz inequality,cauchy–bunyakovsky inequality,generalization and refinement of the cauchy–schwarz inequality
Algebra,Generalization,Mathematical analysis,Pure mathematics,Cauchy distribution,Cauchy–Schwarz inequality,Inequality,Mathematics,Free parameter
Journal
Volume
Issue
ISSN
49
9-10
Mathematical and Computer Modelling
Citations 
PageRank 
References 
3
1.23
0
Authors
3
Name
Order
Citations
PageRank
Mohammad Masjed-Jamei1158.03
Sever Silvestru Dragomir2186.87
H.M. Srivastava330876.66