shape preserving approximation real complex von gal sorin (15 Ergebnisse)

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Buch. Zustand: Neu. Neuware -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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 368 pp. Englisch.

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.

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Hardcover. Zustand: Brand New. 1st edition. 328 pages. 9.25x6.25x0.75 inches. In Stock.

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Gebunden. Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. First comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variablesOf interest to grad students and researchers in approximation theory, mathematical analysis, numerical analysis,.

Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -First comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variablesOfinterest tograd students and researchers inapproximation theory, mathematical analysis, numerical analysis, Computer Aided Geometric Design, robotics, data fitting, chemistry, fluid mechanics, and engineeringContains many open problems to spur future researchRich and updated bibliography 368 pp. Englisch.

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