Advances In Inequalities Of The Schwarz Gr Ss And Bessel Type In Inner Product Spaces

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Advances in Inequalities of the Schwarz, Grüss, and Bessel Type in Inner Product Spaces

Author: Sever Silvestru Dragomir
language: en
Publisher: Nova Publishers
Release Date: 2005
The theory of Hilbert spaces plays a central role in contemporary mathematics with numerous applications for Linear Operators, Partial Differential Equations, in Nonlinear Analysis, Approximation Theory, Optimisation Theory, Numerical Analysis, Probability Theory, Statistics and other fields. The Schwarz, triangle, Bessel, Gram and most recently, Grüss type inequalities have been frequently used as powerful tools in obtaining bounds or estimating the errors for various approximation formulae occurring in the domains mentioned above. Therefore, any new advancement related to these fundamental facts will have a flow of important consequences in the mathematical fields where these inequalities have been used before.
Advances in Inequalities of the Schwarz, Triangle and Heisenberg Type in Inner Product Spaces

Author: Sever Silvestru Dragomir
language: en
Publisher: Nova Publishers
Release Date: 2007
Inequalities for hermitian forms -- Schwarz related inequalities -- Reverses for the triangle inequality -- Reverses for the continous triangle inequality -- Reverses of the cbs and heisenberg inequalities -- Other inequalities in inner product spaces
Some New Results Related to Bessel and Grss Inequalities for Orthogonal Families in Inner Product Spaces

Some new counterparts of Bessel's inequality for orthornormal families in real or complex inner product spaces are pointed out. Applications for some Grss type inequalities are also empahsized.