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Advances in Inequalities of the Schwarz, Triangle and Heisenberg Type in Inner Product Space
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Authors: Sever S. Dragomir (Victoria University of Technology) 
Book Description:
The main aim of this monograph is to survey some recent results obtained by the author related to reverses of the Schwarz, Triangle and Bessel inequalities. Some Gruss' type inequalities for orthonormal families of vectors in real or complex inner product spaces are presented as well. Generalizations of the Boas-Bellman, Bombieri, Selberg, Heilbronn and Pecaric inequalities for finite sequences of vectors that are not necessarily orthogonal are also provided. Two extensions of the celebrated Ostrowski's inequalities for sequences or real numbers and the generalization of Wagner's inequality in inner product spaces are pointed out. Finally, some Gruss type inequalities for n-tuples of vectors in inner product spaces and their natural applications for the approximation of the discrete Fourier and Mellin transforms are given as well.

Table of Contents:
Preface
Part 1. Reverse Inequalities
Chapter 1. Reverses for the Schwarz Inequality

Chapter 2. Inequalities of the Gruss Type

Chapter 3. Reverses of Bessel's Inequality

Part 2. Other Inequalities in Inner Product Spaces

Chapter 4. Generalizatons of Besse's Inequalities

Chapter 5. Some Gruss' Type Inequalities for n-Tuyples of Vectors

Chapter 6. Other Inequalities in Inner Product Spaces

Bibliography

Index

   Binding: Hardcover
   Pub. Date: 2006
   Pages: 243 pp.
   ISBN: 1-59454-903-6
   Status: AV
  
Status Code Description
AN Announcing
FM Formatting
PP Page Proofs
FP Final Production
EP Editorial Production
PR At Prepress
AP At Press
AV Available
  
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Advances in Inequalities of the Schwarz, Triangle and Heisenberg Type in Inner Product Space