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

Author:   George A. Anastassiou
Publisher:   Springer Nature Switzerland AG
Edition:   Softcover reprint of the original 1st ed. 2018
Volume:   147
ISBN:  

9783030077884


Pages:   293
Publication Date:   22 December 2018
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Nonlinearity: Ordinary and Fractional Approximations by Sublinear and Max-Product Operators


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Overview

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.

Full Product Details

Author:   George A. Anastassiou
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   Softcover reprint of the original 1st ed. 2018
Volume:   147
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   0.474kg
ISBN:  

9783030077884


ISBN 10:   3030077888
Pages:   293
Publication Date:   22 December 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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.

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