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The monograph explores the computational aspects of moduli of continuity for various functions, emphasizing convexity properties and presenting a comprehensive calculus of smoothness. It uniquely avoids the K-functional method to provide explicit error values in approximation theory. Part II delves into the Global Smoothness Preservation Property (GSPP) across numerous linear approximation operators, offering a general theory and diverse applications in mathematics and computer-aided geometric design. This work is notable for its thorough examination of GSPP and its integration with moduli of smoothness.
Buchkauf
Approximation Theory, George Anastassiou, Sorin G. Gal
- Sprache
- Erscheinungsdatum
- 1999
- product-detail.submit-box.info.binding
- (Hardcover)
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- Titel
- Approximation Theory
- Untertitel
- Moduli of Continuity and Global Smoothness Preservation
- Sprache
- Englisch
- Autor*innen
- George Anastassiou, Sorin G. Gal
- Verlag
- Birkhäuser Boston
- Erscheinungsdatum
- 1999
- Einband
- Hardcover
- Seitenzahl
- 540
- ISBN13
- 9780817641511
- Kategorie
- Mathematik
- Beschreibung
- The monograph explores the computational aspects of moduli of continuity for various functions, emphasizing convexity properties and presenting a comprehensive calculus of smoothness. It uniquely avoids the K-functional method to provide explicit error values in approximation theory. Part II delves into the Global Smoothness Preservation Property (GSPP) across numerous linear approximation operators, offering a general theory and diverse applications in mathematics and computer-aided geometric design. This work is notable for its thorough examination of GSPP and its integration with moduli of smoothness.