Nonlinearity: ordinary and fractional approximations by sublinear and max-product operators

✍ Scribed by Anastassiou, George A

Publisher: Springer
Year: 2018
Tongue: English
Leaves: 298
Series: Studies in systems decision and control 147
Category: Library

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✦ Synopsis

"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 Read more...

Abstract:

This book focuses on approximations under the presence of ordinary and fractional smoothness, presenting both the univariate and multivariate cases. Read more...

✦ Table of Contents

Content: 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.

✦ Subjects

Approximation theory.;Nonlinear theories.

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