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Advances in Inequalities of the Schwarz, Grss & Bessel Type in Inner Product Spaces

Autor Sever Silvestru Dragomir
en Limba Engleză Hardback – 18 mai 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, Grss 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.
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Specificații

ISBN-13: 9781594542022
ISBN-10: 1594542023
Pagini: 249
Dimensiuni: 260 x 180 x 22 mm
Greutate: 0.78 kg
Editura: Nova Science Publishers Inc
Colecția Nova Science Publishers, Inc (US)

Cuprins

Preface; Reverse Inequalities; Reverses for the Schwarz Inequality; Inequalities of the Grss Type; Reverses of Bessel's Inequality; Other Inequalities in Inner Product Spaces; Generalisations of Bessel's Inequality; Some Grss Type Inequalities for n-Tuples of Vectors; Other Inequalities in Inner Product Spaces; Bibliography; Index.