Authors:
- Focuses on approximations under the presence of ordinary and fractional smoothness
- Presents both the univariate and multivariate cases
- Discusses approximations under convexity
- Introduces results that have applications in numerous areas of pure and applied mathematics, especially in approximation theory and numerical analysis in both ordinary and fractional senses
Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 147)
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Table of contents (12 chapters)
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Front Matter
About this book
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.
Authors and Affiliations
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Department of Mathematical Sciences, University of Memphis, Memphis, USA
George A. Anastassiou
Bibliographic Information
Book Title: Nonlinearity: Ordinary and Fractional Approximations by Sublinear and Max-Product Operators
Authors: George A. Anastassiou
Series Title: Studies in Systems, Decision and Control
DOI: https://doi.org/10.1007/978-3-319-89509-3
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-89508-6Published: 26 April 2018
Softcover ISBN: 978-3-030-07788-4Published: 22 December 2018
eBook ISBN: 978-3-319-89509-3Published: 17 April 2018
Series ISSN: 2198-4182
Series E-ISSN: 2198-4190
Edition Number: 1
Number of Pages: XI, 293
Topics: Complexity, Computational Intelligence