Intelligent computations: abstract fract
β Anastassiou, George A
π Library
π
2018
π Springer International Publishing AG
π English
β¦ LIBER β¦
π
Intelligent computations : abstract fractional calculus, inequalities, approximations
β Scribed by Anastassiou, George A
- Publisher
- Springer
- Year
- 2018
- Tongue
- English
- Leaves
- 322
- Series
- Studies in computational intelligence 734
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
This brief book presents the strong fractional analysis of Banach space valued functions of a real domain. The bookβs 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 bookβs 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.
β¦ Table of Contents
Front Matter ....Pages i-x
A Strong Left Fractional Calculus for Banach Space Valued Functions (George A. Anastassiou)....Pages 1-31
Strong Right Abstract Fractional Calculus (George A. Anastassiou)....Pages 33-63
Strong Mixed and Generalized Abstract Fractional Calculus (George A. Anastassiou)....Pages 65-86
Foundations of General Fractional Analysis for Banach Space Valued Functions (George A. Anastassiou)....Pages 87-145
Vector Abstract Fractional Korovkin Approximation (George A. Anastassiou)....Pages 147-173
Basic Abstract Korovkin Theory (George A. Anastassiou)....Pages 175-188
High Approximation for Banach Space Valued Functions (George A. Anastassiou)....Pages 189-210
Vectorial Abstract Fractional Approximation Using Linear Operators (George A. Anastassiou)....Pages 211-233
Abstract Fractional Trigonometric Korovkin Approximation (George A. Anastassiou)....Pages 235-259
Multivariate Abstract Approximation for Banach Space Valued Functions (George A. Anastassiou)....Pages 261-281
Arctangent Function Based Abstract Neural Network Approximation (George A. Anastassiou)....Pages 283-319
β¦ Subjects
Banach spaces;Fractional calculus
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