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Bücher Englische Bücher Approximation Theory
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Approximation Theory
George A. Anastassiou, Sorin G. Gal (Taschenbuch, Englisch)
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Beschreibung
We study in Part I of this monograph the computational aspect of almost all moduli of continuity over wide classes of functions exploiting some of their convexity properties. To our knowledge it is the first time the entire calculus of moduli of smoothness has been included in a book. We then present numerous applications of Approximation Theory, giving exact val ues of errors in explicit forms.… The K-functional method is systematically avoided since it produces nonexplicit constants. All other related books so far have allocated very little space to the computational aspect of moduli of smoothness. In Part II, we study/examine the Global Smoothness Preservation Prop erty (GSPP) for almost all known linear approximation operators of ap proximation theory including: trigonometric operators and algebraic in terpolation operators of Lagrange, Hermite-Fejer and Shepard type, also operators of stochastic type, convolution type, wavelet type integral opera tors and singular integral operators, etc. We present also a sufficient general theory for GSPP to hold true. We provide a great variety of applications of GSPP to Approximation Theory and many other fields of mathemat ics such as Functional analysis, and outside of mathematics, fields such as computer-aided geometric design (CAGD). Most of the time GSPP meth ods are optimal. Various moduli of smoothness are intensively involved in Part II. Therefore, methods from Part I can be used to calculate exactly the error of global smoothness preservation. It is the first time in the literature that a book has studied GSPP. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
08.10.2012
Sprache
Englisch
EAN
9781461271123, 9781461271123
Herausgeber
Birkhäuser Boston
Sonderedition
Nein
Autor
George A. Anastassiou, Sorin G. Gal
Seitenanzahl
525
Einbandart
Taschenbuch
Buch Untertitel
Moduli of Continuity and Global Smoothness Preservation
Schlagwörter
Approximation, Complex Analysis, Interpolation, Numerical Analysis, Smooth function, approximation theory, functional analysis, linear optimization, pdc
Thema-Inhalt
PBW - Angewandte Mathematik
PBKJ - Differentialrechnung und -gleichungen
PBK - Mathematische Analysis, allgemein
PBKS - Numerische Mathematik
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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