Anastassiou G. Nonlinearity.Ordinary and Fractional Approx. 2018

Textbook in PDF format

This book focuses on approximations under the presence of ordinary and fractional smoothness, presenting both the univariate and multivariate cases. It also explores approximations under convexity and a new trend in approximation theory –approximation by sublinear operators with applications to max-product operators, which are nonlinear and rational providing very fast and flexible approximations. The results presented have applications in numerous areas of pure and applied mathematics, especially in approximation theory and numerical analysis in both ordinary and fractional senses. As such this book is suitable for researchers, graduate students, and seminars of the above disciplines, and is a must for all science and engineering libraries.
Front Matter
Approximation by Positive Sublinear Operators
High Order Approximation by Max-Product Operators
Conformable Fractional Approximations Using Max-Product Operators
Caputo Fractional Approximation Using Positive Sublinear Operators
Canavati Fractional Approximations Using Max-Product Operators
Iterated Fractional Approximations Using Max-Product Operators
Mixed Conformable Fractional Approximation Using Positive Sublinear Operators
Approximation of Fuzzy Numbers Using Max-Product Operators
High Order Approximation by Multivariate Sublinear and Max-Product Operators
High Order Approximation by Sublinear and Max-Product Operators Using Convexity
High Order Conformable Fractional Approximation by Max-Product Operators Using Convexity
High Order Approximation by Multivariate Sublinear and Max-Product Operators Under Convexity