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Sinopsis
Offers an examination of the multivariate approximation case
Special focus on the Bernstein operators, including applications, and on two new classes of Bernstein-type operators
Many general estimates, leaving room for future applications (e.g. the B-spline case)
Extensions to approximation operators acting on spaces of vector functions
Historical perspective in the form of previous significant results
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De la contraportada
This work treats quantitative aspects of the approximation of functions using positive linear operators. The theory of these operators has been an important area of research in the last few decades, particularly as it affects computer-aided geometric design. In this book, the crucial role of the second order moduli of continuity in the study of such operators is emphasized. New and efficient methods, applicable to general operators and to diverse concrete moduli, are presented. The advantages of these methods consist in obtaining improved and even optimal estimates, as well as in broadening the applicability of the results.
Additional Topics and Features:
* Examination of the multivariate approximation case
* Special focus on the Bernstein operators, including applications, and on two new classes of Bernstein-type operators
* Many general estimates, leaving room for future applications (e.g. the B-spline case)
* Extensions to approximation operators acting on spaces of vector functions
* Historical perspective in the form of previous significant results
This monograph will be of interest to those working in the field of approximation or functional analysis. Requiring only familiarity with the basics of approximation theory, the book may serve as a good supplementary text for courses in approximation theory, or as a reference text on the subject.
"Sobre este título" puede pertenecer a otra edición de este libro.
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Approximation Theory Using Positive Linear Operators
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Approximation Theory Using Positive Linear Operators
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Birkhauser, Boston, 2004
ISBN 10: 0817643508
ISBN 13: 9780817643508
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Approximation Theory Using Positive Linear Operators
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Approximation Theory Using Positive Linear Operators
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Approximation Theory Using Positive Linear Operators
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Approximation Theory Using Positive Linear Operators
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Birkhäuser Boston Sep 2004, 2004
ISBN 10: 0817643508
ISBN 13: 9780817643508
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Offers an examination of the multivariate approximation case Special focus on the Bernstein operators, including applications, and on two new classes of Bernstein-type operators Many general estimates, leaving room for future applications (e.g. the B-spline case) Extensions to approximation operators acting on spaces of vector functions Historical perspective in the form of previous significant results 216 pp. Englisch. Nº de ref. del artículo: 9780817643508
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Approximation Theory Using Positive Linear Operators
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Approximation Theory Using Positive Linear Operators
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Approximation Theory Using Positive Linear Operators
Publicado por
Birkhäuser Boston, 2004
ISBN 10: 0817643508
ISBN 13: 9780817643508
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Kartoniert / Broschiert. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Approximation theory using positive linear operators has been a key area of research in the last few decades. Focus on the current important topic of Bernstein operators with excellent new applications to 2 new classes of Bernstein operatorsN. Nº de ref. del artículo: 5975787
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Approximation Theory Using Positive Linear Operators
Publicado por
Birkhäuser Boston, Birkhäuser Boston, 2004
ISBN 10: 0817643508
ISBN 13: 9780817643508
Nuevo
Taschenbuch
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - We deal in this work with quantitative results in the pointwise approximation of func tions by positive linear functionals and operators. One of the main objectives is to obtain estimates for the degree of approximation in terms of various types of second order moduli of continuity. In the category of sec ond order moduli we include both classical and newly introduced moduli. Particular attention is paid to optimizing the constants appearing in such estimates. In the last decades, the study of linear positive operators with the aid of second order moduli was intensive, thanks to their refinements in characterization of the smoothness of functions. As promoters of this direction of research we mention Yu. Brudnyi, G. Freud, and J. Petree. Our approach is more akin to the approach taken by H. Gonska, who obtained the first general estimates for second order moduli with precise constants and with free parameters. Two new methods will be presented. The first one, based on decomposition of functionals and the use of moments, can be applied to diverse types of moduli and leads to simple estimates. The second method gives sufficient conditions for obtaining absolute optimal constants. The benefits of these more direct methods, compared with the known method based on K-functionals, consist in the improvement and even the optimization of the constants, and in the generalization of the framework. Nº de ref. del artículo: 9780817643508
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