Quantitative Approximation: Proceedings of a Symposium on Quantitative Approximation Held in Bonn, West Germany, August 20-24, 1979

Devore, Ronald A. (Editor) / Scherer, Karl (Series Editor)

ISBN 10: 1483238113 / ISBN 13: 9781483238111

Published by Academic Press, 2014

About this Item

336 pages. 9.25x6.00x0.76 inches. In Stock.

Seller Inventory # zk1483238113

Bibliographic Details

• Title: Quantitative Approximation: Proceedings of a Symposium on Quantitative Approximation Held in Bonn, West Germany, August 20-24, 1979
• Publisher: Academic Press
• Publication Date: 2014
• Language: English
• ISBN 10: 1483238113
• ISBN 13: 9781483238111
• Binding: Paperback
• Condition: Brand New

About this title

Synopsis

Quantitative Approximation provides information pertinent to nonlinear approximation, including rational approximation and optimal knot spline approximation. This book discusses spline approximation with the most emphasis on multivariate and knot independent questions.

Organized into 26 chapters, this book begins with an overview of the inequality for the sharp function in terms of the maximal rearrangement. This text then examines the best co-approximation in a Hilbert space wherein the existence ad uniqueness sets are the closed flats. Other chapters consider the inverse of the coefficient matrix for the system satisfied by the B-spline coefficients of the cubic spline interpolant at knots. This book discusses as well the relationship between the structural properties of a function and its degree of approximation by rational functions. The final chapter deals with the problem of existence of continuous selections for metric projections and provides a solution for this problem.

This book is a valuable resource for mathematicians.