Nonlinearity: ordinary and fractional approximations by sublinear and max-product operators
1st ed.
Author
Anastassiou, George A.
Additional Author(s)
-
Publisher
Cham, Switzerland : Springer International Publishing, 2018
Language
English
ISBN
9783319895093
Series
Studies in systems, decision and control 147
Subject(s)
APPROXIMATION THEORY
COMPUTATIONAL COMPLEXITY
NONLINEAR THEORIES
Notes
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Abstract
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.
