George A. Anastassiou Poradie kníh (chronologicky)

Focusing on abstract kernel fractional calculus, this book explores both univariate and bivariate applications, including monotone approximation using polynomials and splines. It delves into constrained approximations with pseudo-polynomials, aiming to bridge theoretical concepts with practical applications in fields such as geophysics, physics, chemistry, economics, and engineering. Designed for researchers, graduate students, and practitioners, it serves as a valuable resource for those interested in fractional approximation and differential equations.

The book explores advanced inequalities in the context of fractional calculus, specifically focusing on generalized Caputo fractional Ostrowski and Grüss-type inequalities for Banach algebra valued functions. It introduces various refined inequalities and applies p-Schatten norms to derive significant results. The findings have broad applications in both pure and applied mathematics, particularly in fractional inequalities and differential equations, as well as in fields such as geophysics, physics, and engineering. It's a valuable resource for researchers and students in these disciplines.

Focusing on constructive approximation theory, this work explores ordinary and fractional approximations through various operators and singular integrals. It emphasizes original research on generalized fractional differentiation techniques and their applications to inequalities, including Opial and Hardy types. The book also covers fractional Landau inequalities and multivariate fractional Taylor formulae. Aimed at researchers and graduate students, it highlights the growing significance of fractional analysis in mathematics and its real-world applications, making it a valuable resource for academic libraries.

Focusing on computational and fractional analysis, this book delves into key inequalities such as the Iyengar type and Choquet integral analytical inequalities, essential for economic applications. It explores local fractional derivatives of Riemann-Liouville type, low order derivatives, and related approximations. The text also addresses quantitative complex approximation theory and important complex fractional inequalities, including conformable fractional approximations. Additionally, it introduces new local fractional M-derivatives and presents a complex multivariate Taylor formula, making it a valuable resource for researchers and graduate students in mathematics.