Constructive Fractional Analysis with Applications

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.