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

  • George A. Anastassiou

Part of the Studies in Systems, Decision and Control book series (SSDC, volume 147)

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.


Positive Sublinear Operators Max-Product Operators Approximations Under Convexity Conformable Fractional Approximation Caputo Fractional Approximation

Authors and affiliations

  • George A. Anastassiou
    • 1
  1. 1.Department of Mathematical SciencesUniversity of MemphisMemphisUSA

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-89508-6
  • Online ISBN 978-3-319-89509-3
  • Series Print ISSN 2198-4182
  • Series Online ISSN 2198-4190
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