Nonlinearity: Ordinary and Fractional Approximations by Sublinear and Max-Product Operators

• Main Author: Anastassiou, George A. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Studies in Systems, Decision and Control, 147
• Subjects: Computational complexity.; Computational intelligence.; Complexity.; Computational Intelligence.

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-...

Table of Contents:

• 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.