Constructive Fractional Analysis with Applications

This book PDF is perfect for those who love Technology & Engineering genre, written by George A. Anastassiou and published by Springer Nature which was released on 01 April 2021 with total hardcover pages 523. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Constructive Fractional Analysis with Applications books below.

Constructive Fractional Analysis with Applications
Constructive Fractional Analysis with Applications
Author : George A. Anastassiou
File Size : 48,9 Mb
Publisher : Springer Nature
Language : English
Release Date : 01 April 2021
ISBN : 9783030714819
Pages : 523 pages
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Constructive Fractional Analysis with Applications by George A. Anastassiou Book PDF Summary

This book includes constructive approximation theory; it presents ordinary and fractional approximations by positive sublinear operators, and high order approximation by multivariate generalized Picard, Gauss–Weierstrass, Poisson–Cauchy and trigonometric singular integrals. Constructive and Computational Fractional Analysis recently is more and more in the center of mathematics because of their great applications in the real world. In this book, all presented is original work by the author given at a very general level to cover a maximum number of cases in various applications. The author applies generalized fractional differentiation techniques of Riemann–Liouville, Caputo and Canavati types and of fractional variable order to various kinds of inequalities such as of Opial, Hardy, Hilbert–Pachpatte and on the spherical shell. He continues with E. R. Love left- and right-side fractional integral inequalities. They follow fractional Landau inequalities, of left and right sides, univariate and multivariate, including ones for Semigroups. These are developed to all possible directions, and right-side multivariate fractional Taylor formulae are proven for the purpose. It continues with several Gronwall fractional inequalities of variable order. This book results are expected to find applications in many areas of pure and applied mathematics. As such this book is suitable for researchers, graduate students and seminars of the above disciplines, also to be in all science and engineering libraries.

Constructive Fractional Analysis with Applications

Constructive Fractional Analysis with Applications by George A. Anastassiou

This book includes constructive approximation theory; it presents ordinary and fractional approximations by positive sublinear operators, and high order approximation by multivariate generalized Picard, Gauss–Weierstrass, Poisson–Cauchy and trigonometric singular integrals. Constructive and Computational Fractional Analysis recently is more and more in the center of mathematics because of their

Get Book
Abstract Fractional Monotone Approximation Theory and Applications

Abstract Fractional Monotone Approximation Theory and Applications by George A. Anastassiou

This book employs an abstract kernel fractional calculus with applications to Prabhakar and non-singular kernel fractional calculi. The results are univariate and bivariate. In the univariate case, abstract fractional monotone approximation by polynomials and splines is presented. In the bivariate case, the abstract fractional monotone constrained approximation by bivariate pseudo-polynomials

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Fractional Inequalities In Banach Algebras

Fractional Inequalities In Banach Algebras by George A. Anastassiou

This book presents generalized Caputo fractional Ostrowski and Grüss-type inequalities involving several Banach algebra valued functions. Furthermore, the author gives generalized Canavati fractional Ostrowski, Opial, Grüss, and Hilbert-Pachpatte-type inequalities for multiple Banach algebra valued functions. By applying the p-Schatten norms over the von Neumann–Schatten classes, the author

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Parametrized Deformed and General Neural Networks

Parametrized Deformed and General Neural Networks by George A. Anastassiou

In this book, we introduce the parametrized, deformed and general activation function of neural networks. The parametrized activation function kills much less neurons than the original one. The asymmetry of the brain is best expressed by deformed activation functions. Along with a great variety of activation functions, general activation functions

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Banach Space Valued Neural Network

Banach Space Valued Neural Network by George A. Anastassiou

This book is about the generalization and modernization of approximation by neural network operators. Functions under approximation and the neural networks are Banach space valued. These are induced by a great variety of activation functions deriving from the arctangent, algebraic, Gudermannian, and generalized symmetric sigmoid functions. Ordinary, fractional, fuzzy, and

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Fractional Calculus with its Applications in Engineering and Technology by Yi Yang,Haiyan Henry Zhang

This book aims to provide the basic theory of fractional calculus and its applications based on practical schemes and approaches, illustrated with applicable engineering and technical examples, especially focusing on the fractional-order controller design. In the development of this book, the essential theorems and facts in the first two chapters

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