Nonlinearity: Ordinary and Fractional Approximations by Sublinear and Max-Product Operators
Published on 22. December 2018
Book
Paperback/Softback
XI, 293 pages
978-3-030-07788-4 (ISBN)
Description
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.
More details
Series
Edition
Softcover Reprint of the Original 1st 2018 ed.
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Illustrations
XI, 293 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 17 mm
Weight
470 gr
ISBN-13
978-3-030-07788-4 (9783030077884)
DOI
10.1007/978-3-319-89509-3
Schweitzer Classification
Other editions
Additional editions
George A. Anastassiou
Nonlinearity: Ordinary and Fractional Approximations by Sublinear and Max-Product Operators
Book
04/2018
Springer
€106.99
Shipment within 10-15 days
Person
George Anastassiou is Professor at the University of Memphis. Research interests include Computational analysis, approximation theory, probability, theory of moments. Professor Anastassiou has authored and edited several publications with Springer including "Fractional Differentiation Inequalities" (c) 2009, "Fuzzy Mathematics: Approximation Theory" (c) 2010, "Intelligent Systems: Approximation by Artificial Neural Networks" (c) 2014, "The History of Approximation Theory" (c) 2005, "Modern Differential Geometry in Gauge Theories" (c) 2006, and more.
Razvan Alex Mezei received his PhD from the University of Memphis and currently holds an assistant professorship and Lenoir-Rhyne University, Hickory, North Carolina. He teaches mathematics as well as computer science/IT courses to undergraduates and is a computing sciences program coordinator. Mezei has extensive experience in computer programming and software development and has written several publications with George Anastassiou.
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.