Title
A functional generalization of the Cauchy–Schwarz inequality and some subclasses
Abstract
In this work, a functional generalization of the Cauchy–Schwarz inequality is presented for both discrete and continuous cases and some of its subclasses are then introduced. It is also shown that many well-known inequalities related to the Cauchy–Schwarz inequality are special cases of the inequality presented.
Year
DOI
Venue
2009
10.1016/j.aml.2009.03.001
Applied Mathematics Letters
Keywords
Field
DocType
Functional generalization of Cauchy–Bunyakovsky–Schwarz inequality,Callebaut inequality,Wagner inequality,Milne inequality,Discrete and continuous spaces
Mathematical optimization,Hölder's inequality,Mathematical analysis,Rearrangement inequality,Cauchy–Schwarz inequality,Ky Fan inequality,Inequality,Kantorovich inequality,Log sum inequality,Linear inequality,Mathematics
Journal
Volume
Issue
ISSN
22
9
0893-9659
Citations 
PageRank 
References 
5
0.71
1
Authors
1
Name
Order
Citations
PageRank
Mohammad Masjed-Jamei1158.03