Nonlinearity: Ordinary and Fractional Approximations by Sublinear and Max-Product Operators

Nonfiction, Computers, Advanced Computing, Artificial Intelligence, Science & Nature, Technology, Reference & Language, Reference
Cover of the book Nonlinearity: Ordinary and Fractional Approximations by Sublinear and Max-Product Operators by George A. Anastassiou, Springer International Publishing
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Author: George A. Anastassiou ISBN: 9783319895093
Publisher: Springer International Publishing Publication: April 17, 2018
Imprint: Springer Language: English
Author: George A. Anastassiou
ISBN: 9783319895093
Publisher: Springer International Publishing
Publication: April 17, 2018
Imprint: Springer
Language: English

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.

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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.

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