Computer Science

Shape-Preserving Approximation by Real and Complex Polynomials

Name: Shape-Preserving Approximation by Real and Complex Polynomials
Brand: Birkhäuser
SKU: 9780817647025
Price: 12274.00 INR
Availability: InStock
ISBN: 9780817647025

SHAPE-PRESERVING APPROXIMATION

Contributor(s): Gal, Sorin Author , Anastassiou, George A. Author Format: Hardback

Hardback · ISBN 9780817647025

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Key Specifications

ISBN	9780817647025
Subtitle	SHAPE-PRESERVING APPROXIMATION
Publisher	Birkhäuser
Publication date	September 2008
Language	English
MRP	£86.50 GBP
Page count	368
Item weight	153 g

In many problems arising in engineering and science one requires approxi- tion methods to reproduce physical reality as well as possible. Very schema- cally, if the input data represents a complicated discrete/continuous quantity of information, of "shape" S (S could mean, for example, that we have a "monotone/convex" collection of data), then one desires to represent it by the less-complicated output information, that "approximates well" the input data and, in addition, has the same "shape" S. This kind of approximation is called "shape-preserving approximation" and arises in computer-aided geometric design, robotics, chemistry, etc. Typically, the input data is represented by a real or complex function (of one or several variables), and the output data is chosen to be in one of the classes polynomial, spline, or rational functions. The present monograph deals in Chapters 1-4 with shape-preserving - proximation by real or complex polynomials in one or several variables. Chapter 5 is an exception and is devoted to some related important but n- polynomial andnonsplineapproximations preservingshape.Thesplinecaseis completely excluded in the present book, since on the one hand, many details concerning shape-preserving properties of splines can be found, for example, in the books of de Boor [49], Schumaker [344], Chui [69], DeVore-Lorentz [91], Kvasov [218] and in the surveys of Leviatan [229], Koci c-Milovanovi c [196], while on the other hand, we consider that shape-preserving approximation by splines deserves a complete study in a separate book.

Shape-Preserving Approximation by Real and Complex Polynomials

Key Specifications

Gal, Sorin Author

Anastassiou, George A. Author

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