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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.
Nákup knihy
Approximation Theory, George A. Anastassiou, Sorin G. Gal
- Jazyk
- Rok vydania
- 1999
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- Titul
- Approximation Theory
- Podtitul
- Moduli of Continuity and Global Smoothness Preservation
- Jazyk
- anglicky
- Vydavateľ
- Birkhäuser Boston
- Rok vydania
- 1999
- Väzba
- pevná
- Počet strán
- 540
- ISBN13
- 9780817641511
- Kategórie
- Matematika
- Anotácia
- 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.