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Title: Advances in Inequalities of the Schwarz, GrĂ¼ss & Bessel Type in Inner Product Spaces
By (author): Sever Silvestru Dragomir
ISBN10-13: 1594542023 : 9781594542022
Format: Hardback
Size: 180x260mm
Pages: 249
Weight: .777 Kg.
Published: Nova Science Publishers, Inc (US) - May   2005
List Price: 194.99 Pounds Sterling
Availability: Temporarily Out of Stock, more expected soon 
Subjects: Mathematics
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, GrĂ"ss 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.
Table of Contents:
Preface; Reverse Inequalities; Reverses for the Schwarz Inequality; Inequalities of the Grüss Type; Reverses of Bessel's Inequality; Other Inequalities in Inner Product Spaces; Generalisations of Bessel's Inequality; Some Grüss Type Inequalities for n-Tuples of Vectors; Other Inequalities in Inner Product Spaces; Bibliography; Index.
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