Nonlinearity: Ordinary and Fractional Approximations by Sublinear and Max-Product Operators
Authors: Anastassiou, George A.
Free Preview- 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
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- About this book
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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.
- Table of contents (12 chapters)
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Approximation by Positive Sublinear Operators
Pages 1-17
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High Order Approximation by Max-Product Operators
Pages 19-42
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Conformable Fractional Approximations Using Max-Product Operators
Pages 43-66
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Caputo Fractional Approximation Using Positive Sublinear Operators
Pages 67-94
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Canavati Fractional Approximations Using Max-Product Operators
Pages 95-118
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Table of contents (12 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Nonlinearity: Ordinary and Fractional Approximations by Sublinear and Max-Product Operators
- Authors
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- George A. Anastassiou
- Series Title
- Studies in Systems, Decision and Control
- Series Volume
- 147
- Copyright
- 2018
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing AG, part of Springer Nature
- eBook ISBN
- 978-3-319-89509-3
- DOI
- 10.1007/978-3-319-89509-3
- Hardcover ISBN
- 978-3-319-89508-6
- Series ISSN
- 2198-4182
- Edition Number
- 1
- Number of Pages
- XI, 293
- Topics
