George A. Anastassiou
Approximation Theory
Moduli of Continuity and Global Smoothness Preservation
Ebook (PDF Format)
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 Sm…
Mehr
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.
CHF 106.50
Preise inkl. MwSt. und Versandkosten (Portofrei ab CHF 40.00)
Versandkostenfrei
Produktdetails
Weitere Autoren: Gal, Sorin G.
- ISBN: 978-1-4612-1360-4
- EAN: 9781461213604
- Produktnummer: 37220172
- Verlag: Birkhäuser Boston
- Sprache: Englisch
- Erscheinungsjahr: 2012
- Seitenangabe: 525 S.
- Plattform: PDF
- Auflage: 2000
84 weitere Werke von George A. Anastassiou:
Moduli of Continuity and Global Smoothness Preservation
Ebook (PDF Format)
CHF 130.00
Moduli of Continuity and Global Smoothness Preservation
Ebook (PDF Format)
CHF 165.50
Moduli of Continuity and Global Smoothness Preservation
Ebook (PDF Format)
CHF 220.50
Moduli of Continuity and Global Smoothness Preservation
Ebook (PDF Format)
CHF 59.00
Moduli of Continuity and Global Smoothness Preservation
Ebook (PDF Format)
CHF 176.50
Moduli of Continuity and Global Smoothness Preservation
Ebook (PDF Format)
CHF 242.50
Moduli of Continuity and Global Smoothness Preservation
Ebook (PDF Format)
CHF 141.50
Moduli of Continuity and Global Smoothness Preservation
Ebook (PDF Format)
CHF 165.50
Moduli of Continuity and Global Smoothness Preservation
Ebook (PDF Format)
CHF 165.50
Moduli of Continuity and Global Smoothness Preservation
Ebook (PDF Format)
CHF 171.00
Moduli of Continuity and Global Smoothness Preservation
Ebook (PDF Format)
CHF 72.00
Moduli of Continuity and Global Smoothness Preservation
Ebook (PDF Format)
CHF 72.00
Moduli of Continuity and Global Smoothness Preservation
Ebook (PDF Format)
CHF 200.50
Moduli of Continuity and Global Smoothness Preservation
Ebook (PDF Format)
CHF 177.00
Moduli of Continuity and Global Smoothness Preservation
Ebook (PDF Format)
CHF 94.50
Moduli of Continuity and Global Smoothness Preservation
Ebook (PDF Format)
CHF 94.50
Moduli of Continuity and Global Smoothness Preservation
Ebook (PDF Format)
CHF 165.50
Moduli of Continuity and Global Smoothness Preservation
Ebook (PDF Format)
CHF 308.50
Moduli of Continuity and Global Smoothness Preservation
Ebook (PDF Format)
CHF 72.00
Bewertungen
0 von 0 Bewertungen
Anmelden
Keine Bewertungen gefunden. Seien Sie der Erste und teilen Sie Ihre Erkenntnisse mit anderen.