Approximation with Quasi-Splines / Edition 1

by G.H Kirov

Overview

In the theory of splines, a function is approximated piece-wise by (usually cubic) polynomials. Quasi-splines is the natural extension of this, allowing us to use any useful class of functions adapted to the problem.
Approximation with Quasi-Splines is a detailed account of this highly useful technique in numerical analysis.

The book presents the requisite approximation theorems and optimization methods, developing a unified theory of one and several variables. The author applies his techniques to the evaluation of definite integrals (quadrature) and its many-variables generalization, which he calls "cubature."

This book should be required reading for all practitioners of the methods of approximation, including researchers, teachers, and students in applied, numerical and computational mathematics.

Product Details

ISBN-13:	9780750301817
Publisher:	Taylor & Francis
Publication date:	01/01/1992
Pages:	260
Product dimensions:	6.00(w) x 9.00(h) x (d)

Table of Contents

Introduction. Restoration of functions of one variable. Restoration of functions of several variables. Some quadrature formulas. Optimal cubature formulas with lattice restrictions for the functional classes H^Ow1w2^I(D^T2) and H^Ow^I(D^O2^I). Approximation of functions with rational quasi-splines. Applications.

Editorial Reviews

In numerical analysis, quasi-splines is an extension of the theory of splines in which any useful class of functions (not just polynomials) can be used to piece-wise approximate other functions. May be used as a text for a second course in numerical analysis. The author is from the Plovdiv Higher Institute of Food and Flavour Industries, Bulgaria. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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