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Best Approximation in Inner Product Spaces

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Published by Springer .
Written in English


Book details:

The Physical Object
Number of Pages360
ID Numbers
Open LibraryOL7448755M
ISBN 100387951563
ISBN 109780387951560

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Since best approximation problems appear in many different branches, this monograph of about pages will be a useful tool for researchers in mathematics, statistics, engineering, computer science and other fields of applications." F.R. Deutsch. Best Approximation in Inner Product Spaces. To be able to devote most of the course to "best approximation," I decided to concentrate on the simplest of the normed linear spaces-the inner product spaces-since the theory in inner product spaces can be taught from first principles in much less time, and also since one can give a convincing argument that inner product spaces are the most. This book evolved from notes originally developed for a graduate course, "Best Approximation in Normed Linear Spaces," that I began giving at Penn State Uni versity more than 25 years ago. It soon became evident. that many of the students who wanted to take the course (including engineers, computer scientists, and statis ticians, as well as mathematicians) did not have the necessary 5/5(2).   "This monograph contains the first comprehensive presentation of best approximation in inner product spaces (e.g., Hilbert spaces) The author has succeeded very well in presenting clearly this first systematic study of best approximation in inner product spaces. The book is a valuable source for teaching graduate courses on approximation Author: Frank R. Deutsch.

This is the first systematic study of best approximation theory in inner product spaces and, in particular, in Hilbert space. Geometric considerations play a prominent role in developing and understanding the theory. The only prerequisite for reading the book is some knowledge of advanced. This is the first systematic study of best approximation theory in inner product spaces and, in particular, in Hilbert space. Geometric considerations play a prominent role in developing and understanding the theory. The only prerequisite for reading the book is some knowledge of advanced Price: $ Get this from a library! Best approximation in inner product spaces. [F Deutsch] -- "This is the first systematic study of best approximation theory in inner product spaces and, in particular, in Hilbert space. Geometric considerations play a prominent role in developing and. Request PDF | On Jan 1, , Frank Deutsch and others published Best Approximation in Inner-Product Spaces | Find, read and cite all the research you need on ResearchGateAuthor: Frank Deutsch.

from book Best Approximation in Inner-Product Spaces To motivate the subject matter of this book, we begin this chapter by listing five basic problems that arise in various applications of Author: Frank Deutsch. Description: This is the first systematic study of best approximation theory in inner product spaces and, in particular, in Hilbert space. Geometric considerations play a prominent role in developing and understanding the theory. The only prerequisites for reading the book is some knowledge of advanced calculus and linear algebra. This is the first systematic study of best approximation theory in inner product spaces and, in particular, in Hilbert space. Geometric considerations play a prominent role in developing and understanding the theory. The only prerequisites for reading the book is some knowledge of . While these problems seem to be quite different on the surface, we will later see that the first three (respectively the fourth and fifth) are special cases of the general problem of best approximation in an inner product space by elements of a finite-dimensional subspace (respectively convex set). In this latter formulation, the problem has a Cited by: 9.