The Cauchy-Schwarz inequality

2010 ◽  
pp. 23-28
Author(s):  
Julia Garibaldi ◽  
Alex Iosevich ◽  
Steven Senger
Keyword(s):  
Schwarz Inequality

scholarly journals Reverses of the Cauchy–Bunyakovsky–Schwarz inequality for n-tuples of complex numbers

2004 ◽  
Vol 69 (3) ◽  
pp. 465-480 ◽  
Author(s):  
S.S. Dragomir
Keyword(s):  
Schwarz Inequality ◽  
Complex Numbers

Some new reverses of the Cauchy–Bunyakovsky–Schwarz inequality for n-tuples of real and complex numbers related to Cassels and Shisha–Mond results are given.

scholarly journals Inner Product over Fuzzy Matrices

2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
A. Nagoor Gani ◽  
K. Kannan ◽  
A. R. Manikandan
Keyword(s):  
Minimum Principle ◽  
Schwarz Inequality ◽  
Inner Product ◽  
Equivalent Conditions

The purpose of this study was to introduce the inner product over fuzzy matrices. By virtue of this definition,α-norm is defined and the parallelogram law is proved. Again the relative fuzzy norm with respect to the inner product over fuzzy matrices is defined. Moreover Cauchy Schwarz inequality, Pythagoras, and Fundamental Minimum Principle are established. Some equivalent conditions are also proved.

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