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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.
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Approximation Theory, George Anastassiou, Sorin G. Gal
- Language
- Released
- 1999
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- (Hardcover)
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- Title
- Approximation Theory
- Subtitle
- Moduli of Continuity and Global Smoothness Preservation
- Language
- English
- Authors
- George Anastassiou, Sorin G. Gal
- Publisher
- Birkhäuser Boston
- Released
- 1999
- Format
- Hardcover
- Pages
- 540
- ISBN13
- 9780817641511
- Category
- Mathematics
- Description
- 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.