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Focusing on constructive approximation theory, this work explores both ordinary and fractional approximations using positive sublinear operators and various high-order methods. It emphasizes the growing significance of constructive and computational fractional analysis in practical applications. The author employs advanced fractional differentiation techniques to address a range of inequalities, including Opial and Hardy types, and extends results to multivariate cases. This comprehensive treatment is aimed at researchers and graduate students, making it a valuable resource for mathematics and engineering libraries.
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Constructive Fractional Analysis with Applications, George Anastassiou
- Language
- Released
- 2021
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- (Hardcover)
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- Title
- Constructive Fractional Analysis with Applications
- Language
- English
- Authors
- George Anastassiou
- Publisher
- Springer International Publishing
- Released
- 2021
- Format
- Hardcover
- Pages
- 540
- ISBN13
- 9783030714802
- Category
- Computers, IT, Programming
- Description
- Focusing on constructive approximation theory, this work explores both ordinary and fractional approximations using positive sublinear operators and various high-order methods. It emphasizes the growing significance of constructive and computational fractional analysis in practical applications. The author employs advanced fractional differentiation techniques to address a range of inequalities, including Opial and Hardy types, and extends results to multivariate cases. This comprehensive treatment is aimed at researchers and graduate students, making it a valuable resource for mathematics and engineering libraries.