Nonlinearity: ordinary and fractional approximations by sublinear and max-product operators
General Material Designation
[electronic resources]
First Statement of Responsibility
/ George A. Anastassiou.
EDITION STATEMENT
Edition Statement
Series editor, Janusz Kacprzyk.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham, Switzerland
Name of Publisher, Distributor, etc.
: Springer
Date of Publication, Distribution, etc.
, 2018.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xi, 293 pages.
SERIES
Series Title
Studies in Systems, Decision and Control
Volume Designation
; 147.
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references.
SUMMARY OR ABSTRACT
Text of Note
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.