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Showing 1 - 12 of 38 results for “george a anastassiou”
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  • Abstract Fractional Monotone Approximation, Theory and Applications

    by George A. Anastassiou ...
    Series series Engineering (R0)
    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 and ... Read more

    $167.99 CAD

  • AI Mathematics: Advanced Neural Network Approximation

    by George A. Anastassiou ...
    Series series Intelligent Technologies and Robotics (R0)
    This book presents the new idea of going from the neural networks main tools, the activation functions, to convolution integrals and singular integrals approximations. That is the rare case of employing applied mathematics to treat theoretical ones.Authors introduce and use also the symmetrized neural network operators able to achieve supersonic speeds of convergence.Authors use a great variety of ... Read more

    $319.99 CAD

  • Neural Networks as Positive Linear Operators

    by George A Anastassiou ...
    Series Book 28 - Series on Concrete and Applicable Mathematics
    This research monograph presents a groundbreaking unification of neural network approximation theory through the lens of Positive Linear Operators (PLOs). For the first time in the literature, neural network operators and activated convolution operators are rigorously analyzed as PLOs — providing a comprehensive, quantitative framework based on inequalities and the modulus of continuity.The author ... Read more

    $142.99 CAD

  • Banach Space Valued Neural Network

    Ordinary and Fractional Approximation and Interpolation

    by George A. Anastassiou ...
    Series series Intelligent Technologies and Robotics (R0)
    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 stochastic approximations ... Read more

    $179.99 CAD

  • Fractional Inequalities In Banach Algebras

    by George A. Anastassiou ...
    Series series Engineering (R0)
    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 ... Read more

    $205.99 CAD

  • Generalized Fractional Calculus

    New Advancements and Applications

    by George A. Anastassiou ...
    Series series Intelligent Technologies and Robotics (R0)
    This book applies generalized fractional differentiation techniques of Caputo, Canavati and Conformable types to a great variety of integral inequalities e.g. of Ostrowski and Opial types, etc. Some of these are extended to Banach space valued functions. These inequalities have also great impact in numerical analysis, stochastics and fractional differential equations. The book continues with ... Read more

    $179.99 CAD

  • Intelligent Analysis: Fractional Inequalities and Approximations Expanded

    by George A. Anastassiou ...
    Series series Intelligent Technologies and Robotics (R0)
    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 ... Read more

    $179.99 CAD

  • Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations

    by George A. Anastassiou ...
    Series series Engineering (R0)
    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. ... Read more

    $115.99 CAD

  • Intelligent Comparisons II: Operator Inequalities and Approximations

    by George A. Anastassiou ...
    Series series Engineering (R0)
    This compact book focuses on self-adjoint operators’ well-known named inequalities and Korovkin approximation theory, both in a Hilbert space environment. It is the first book to study these aspects, and all chapters are self-contained and can be read independently. Further, each chapter includes an extensive list of references for further reading.The book’s results are expected to find ... Read more

    $115.99 CAD

  • Constructive Fractional Analysis with Applications

    by George A. Anastassiou ...
    Series series Intelligent Technologies and Robotics (R0)
    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 ... Read more

    $192.99 CAD

  • Intelligent Systems II: Complete Approximation by Neural Network Operators

    by George A. Anastassiou ...
    Series series Engineering (R0)
    This monograph is the continuation and completion of the monograph, “Intelligent Systems: Approximation by Artificial Neural Networks” written by the same author and published 2011 by Springer.The book you hold in hand presents the complete recent and original work of the author in approximation by neural networks. Chapters are written in a self-contained style and can be read independently. ... Read more

    $179.99 CAD

  • Approximation by Multivariate Singular Integrals

    by George A. Anastassiou ...
    Series series Mathematics and Statistics (R0)
    Approximation by Multivariate Singular Integrals is the first monograph to illustrate the approximation of multivariate singular integrals to the identity-unit operator. The basic approximation properties of the general multivariate singular integral operators is presented quantitatively, particularly special cases such as the multivariate Picard, Gauss-Weierstrass, Poisson-Cauchy and ... Read more

    $63.99 CAD