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Birkhoff Interpolation : Encyclopedia of Mathematics and Its Applications - G. G. Lorentz

Birkhoff Interpolation

Encyclopedia of Mathematics and Its Applications

Hardcover

Published: 28th December 1984
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This reference book provides the main definitions, theorems and techniques in the theory of Birkhoff interpolation by polynomials. The book begins with an article by G. G. Lorentz that discusses some of the important developments in approximation and interpolation in the last twenty years. It presents all the basic material known at the present time in a unified manner. Topics discussed include; applications of Birkhoff interpolation to approximation theory, quadrature formulas and Chebyshev systems; lacunary interpolation at special knots and an introduction to the theory of Birkhoff interpolation by splines.

Editor's statement
Preface
Introduction
Basic definitions and properties
Further elementary theorems
Coalescence of rows
Applications of coalescence
Rolle extensions and independent sets of knots
Singluar matrice
Zeros of Birkhoff splines
Almost0hermitian matrices; special three-row matrices
Applications
Birkhoff quadrature formulas
Interpolation at the roots of unity
Tur├čn's problem of (0,2) interpolation
Birkhoff interpolation by splines
Regularity theorems and self-dual problems
Bibliography and references
Symbol index
Subject index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521302395
ISBN-10: 0521302390
Series: Encyclopedia of Mathematics and Its Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 296
Published: 28th December 1984
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 23.39 x 15.6  x 1.75
Weight (kg): 0.59