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Studies in Computational Intelligence

Intelligent Analysis: Fractional Inequalities and Approximations Expanded

Authors: Anastassiou, George A.

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  • Presents recent research on Fractional Inequalities and Approximations Expanded
  • Original research presented in self-contained chapters which can be read independently
  • Provides a formal analysis on issues that are relevant decision making, complex processes, systems modeling and control, and related areas
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eBook $129.00
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  • ISBN 978-3-030-38636-8
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Hardcover $169.99
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About this book

This book focuses on computational and fractional analysis, two areas that are very important in their own right, and which are used in a broad variety of real-world applications. We start with the important Iyengar type inequalities and we continue with Choquet integral analytical inequalities, which are involved in major applications in economics. In turn, we address the local fractional derivatives of Riemann–Liouville type and related results including inequalities. We examine the case of low order Riemann–Liouville fractional derivatives and inequalities without initial conditions, together with related approximations. In the next section, we discuss quantitative complex approximation theory by operators and various important complex fractional inequalities. We also cover the conformable fractional approximation of Csiszar’s well-known f-divergence, and present conformable fractional self-adjoint operator inequalities. We continue by investigating new local fractional M-derivatives that share all the basic properties of ordinary derivatives. In closing, we discuss the new complex multivariate Taylor formula with integral remainder. Sharing results that can be applied in various areas of pure and applied mathematics, the book offers a valuable resource for researchers and graduate students, and can be used to support seminars in related fields.

Table of contents (29 chapters)

Table of contents (29 chapters)

Buy this book

eBook $129.00
price for USA in USD (gross)
  • ISBN 978-3-030-38636-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-030-38635-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Intelligent Analysis: Fractional Inequalities and Approximations Expanded
Authors
Series Title
Studies in Computational Intelligence
Series Volume
886
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-38636-8
DOI
10.1007/978-3-030-38636-8
Hardcover ISBN
978-3-030-38635-1
Series ISSN
1860-949X
Edition Number
1
Number of Pages
XIV, 525
Number of Illustrations
2 b/w illustrations
Topics