Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations

Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations
Author: George A. Anastassiou
Publisher: Springer
Total Pages: 319
Release: 2017-09-02
Genre: Technology & Engineering
ISBN: 3319669362

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This brief book presents the strong fractional analysis of Banach space valued functions of a real domain. The book’s results are abstract in nature: analytic inequalities, Korovkin approximation of functions and neural network approximation. The chapters are self-contained and can be read independently. This concise book is suitable for use in related graduate classes and many research projects. An extensive list of references is provided for each chapter. The book’s results are relevant for many areas of pure and applied mathematics. As such, it offers a unique resource for researchers, and a valuable addition to all science and engineering libraries.


Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations
Language: en
Pages: 319
Authors: George A. Anastassiou
Categories: Technology & Engineering
Type: BOOK - Published: 2017-09-02 - Publisher: Springer

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This brief book presents the strong fractional analysis of Banach space valued functions of a real domain. The book’s results are abstract in nature: analytic
Intelligent Mathematics: Computational Analysis
Language: en
Pages: 793
Authors: George A. Anastassiou
Categories: Technology & Engineering
Type: BOOK - Published: 2011-03-19 - Publisher: Springer Science & Business Media

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Knowledge can be modeled and computed using computational mathematical methods, then lead to real world conclusions. The strongly related to that Computational
Abstract Fractional Monotone Approximation, Theory and Applications
Language: en
Pages: 155
Authors: George A. Anastassiou
Categories: Technology & Engineering
Type: BOOK - Published: 2022-03-11 - Publisher: Springer Nature

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This book employs an abstract kernel fractional calculus with applications to Prabhakar and non-singular kernel fractional calculi. The results are univariate a
Intelligent Comparisons: Analytic Inequalities
Language: en
Pages: 663
Authors: George A. Anastassiou
Categories: Technology & Engineering
Type: BOOK - Published: 2015-07-11 - Publisher: Springer

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This monograph presents recent and original work of the author on inequalities in real, functional and fractional analysis. The chapters are self-contained and
Banach Space Valued Neural Network
Language: en
Pages: 429
Authors: George A. Anastassiou
Categories: Technology & Engineering
Type: BOOK - Published: 2022-10-01 - Publisher: Springer Nature

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This book is about the generalization and modernization of approximation by neural network operators. Functions under approximation and the neural networks are