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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 A. Anastassiou
- Idioma
- Publicado en
- 2021
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- Título
- Constructive Fractional Analysis with Applications
- Idioma
- Inglés
- Autores
- George A. Anastassiou
- Editorial
- Springer International Publishing
- Publicado en
- 2021
- Formato
- Tapa dura
- Páginas
- 540
- ISBN13
- 9783030714802
- Serie
- Descripción
- 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.