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Approximation with Quasi-Splines - G. H. Kirov

Approximation with Quasi-Splines

Hardcover Published: 1st January 1992
ISBN: 9780750301817
Number Of Pages: 247

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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.

Introductionp. 1
Recovery of Functions of One Variablep. 49
Recovery of Functions of Several Variablesp. 81
Some Quadrature Formulasp. 99
Optimal Cubature Formulas With Restrictions on the Lattice for the Function Classes H[actual symbol not reproducible]1[actual symbol not reproducible]2(D[subscript 2]) and H[actual symbol not reproducible](D[subscript 2])p. 129
Approximation of Functions by Rational Quasi-Splinesp. 150
Applicationsp. 201
Referencesp. 243
Author indexp. 249
Subject indexp. 251
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780750301817
ISBN-10: 0750301813
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 247
Published: 1st January 1992
Country of Publication: GB
Dimensions (cm): 23.95 x 16.18  x 1.8
Weight (kg): 0.55
Edition Number: 1