LIBROS DEL AUTOR: george a anastassiou

24 resultados para LIBROS DEL AUTOR: george a anastassiou

george a anastassiou Eliminar filtro Quitar filtros
  • Fractional Inequalities In Banach Algebras
    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 classe...
    Disponible

    207,54 €

  • Abstract Fractional Monotone Approximation, Theory and Applications
    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 pse...
    Disponible

    171,42 €

  • Banach Space Valued Neural Network
    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 stoch...
    Disponible

    47,13 €

  • Fractional Inequalities In Banach Algebras
    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 classe...
    Disponible

    47,69 €

  • Constructive Fractional Analysis with Applications
    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...
    Disponible

    218,81 €

  • Generalized Fractional Calculus
    George A. Anastassiou
    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 ...
    Disponible

    206,63 €

  • Intelligent Analysis
    George A. Anastassiou
    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 loca...
    Disponible

    132,74 €

  • Intelligent Numerical Methods
    George A. Anastassiou / Ioannis K. Argyros
    In this monograph the authors present Newton-type, Newton-like and other numerical methods, which involve fractional derivatives and fractional integral operators, for the first time studied in the literature. All for the purpose to solve numerically equations whose associated functions can be also non-differentiable in the ordinary sense. That is among others extending the cla...
    Disponible

    206,99 €

  • Ordinary and Fractional Approximation by Non-additive Integrals
    George A. Anastassiou
    Ordinary and fractional approximations by non-additive integrals, especially by integral approximators of Choquet, Silkret and Sugeno types, are a new trend in approximation theory. These integrals are only subadditive and only the first two are positive linear, and they produce very fast and flexible approximations based on limited data. The author presents both the univariate...
    Disponible

    47,50 €

  • Nonlinearity
    George A. Anastassiou
    This book focuses on approximations under the presence of ordinary and fractional smoothness, presenting both the univariate and multivariate cases. It also explores approximations under convexity and a new trend in approximation theory -approximation by sublinear operators with applications to max-product operators, which are nonlinear and rational providing very fast and flex...
    Disponible

    133,84 €

  • Intelligent Comparisons II
    George A. Anastassiou
    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 expecte...
    Disponible

    134,17 €

  • Intelligent Numerical Methods II
    George A. Anastassiou / Ioannis K. Argyros
    In this short monograph Newton-likeand other similar numerical methods with applications to solving multivariateequations are developed, which involve Caputotype fractional mixed partial derivatives and multivariate fractional Riemann-Liouvilleintegral operators. These are studied for the first time in the literature. Thechapters are self-contained and can be read independently...
    Disponible

    134,68 €

  • Intelligent Systems II
    George A. Anastassiou
    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 ...
    Disponible

    205,61 €

  • Intelligent Comparisons
    George A. Anastassiou
    This monograph presents recent and original work of the author on inequalities in real, functional and fractional analysis. The chapters are self-contained and can be read independently, they include an extensive list of references per chapter.The book’s results are expected to find applications in many areas of applied and pure mathematics, especially in ordinary and partial d...
    Disponible

    205,85 €

  • Intelligent Routines II
    George A. Anastassiou / Iuliana F. Iatan
    'Intelligent Routines II: Solving Linear Algebra and Differential Geometry with Sage' contains numerous of examples and problems as well as many unsolved problems. This book extensively applies the successful software Sage, which can be found free online http://www.sagemath.org/. Sage is a recent and popular software for mathematical computation, available freely and simple to ...
    Disponible

    207,54 €

  • Intelligent Mathematics
    George A. Anastassiou
    Knowledge can be modeled and computed using computational mathematical methods, then lead to real world conclusions. The strongly related to that Computational Analysis is a very large area with lots of applications. This monograph includes a great variety of topics of Computational Analysis. We present: probabilistic wavelet approximations, constrained abstract approximation t...
    Disponible

    266,65 €

  • Intelligent Routines
    George A. Anastassiou / Iuliana F. Iatan
    Real Analysis is a discipline of intensive study in many institutions of higher education, because it contains useful concepts and fundamental results in the study of mathematics and physics, of the technical disciplines and geometry. This book is the first one of its kind that solves mathematical analysis problems with all four related main software Matlab, Mathcad, Mathematic...
    Disponible

    341,50 €

  • Towards Intelligent Modeling
    George A. Anastassiou / Oktay Duman
    The main idea of statistical convergence is to demand convergence only for a majority of elements of a sequence. This method of convergence has been investigated in many fundamental areas of mathematics such as: measure theory, approximation theory, fuzzy logic theory, summability theory, and so on. In this monograph we consider this concept in approximating a function by linea...
    Disponible

    134,10 €

  • Approximation Theory
    George A. Anastassiou / Sorin Gal
    We study in Part I of this monograph the computational aspect of almost all moduli of continuity over wide classes of functions exploiting some of their convexity properties. To our knowledge it is the first time the entire calculus of moduli of smoothness has been included in a book. We then present numerous applications of Approximation Theory, givi...
    Disponible

    132,72 €

  • Fuzzy Mathematics
    George A. Anastassiou
    This monograph is the r st in Fuzzy Approximation Theory. It contains mostly the author s research work on fuzziness of the last ten years and relies a lot on [10]-[32] and it is a natural outgrowth of them. It belongs to the broader area of Fuzzy Mathematics. Chapters are self-contained and several advanced courses can be taught out of this book. We ...
    Disponible

    243,80 €

  • Approximation by Multivariate Singular Integrals
    George A. Anastassiou
    -1. Uniform Approximation by General Multivariate Singular Integral Operators(Introduction, Main Results, Applications, References). -2. Approximation by General Multivariate Singular Integral Operators(Introduction, Main Results, Applications, References). -3. Global Smoothness Preservation and Simultaneous Approximation by Multivariate General Singular Integrals(Introduction,...
    Disponible

    60,73 €

  • Advances on Fractional Inequalities
    George A. Anastassiou
    -1. Opial-type inequalities for balanced fractional derivatives(Introduction, Background, Main Results, References). -2. Univariate right Caputo fractional Ostrowski inequalities (Introduction, Main Results, References). -3. Multivariate right Caputo fractional Ostrowski inequalities (Introduction, Main Results, References).-4. Univariate mixed fractional Ostrowski inequalities...
    Disponible

    60,84 €

  • Inequalities Based on Sobolev Representations
    George A. Anastassiou
    Part 1. -Univariate Integral Inequalities based on Sobolev representations.- Introduction.- Background. -Main Results. -Applications.- References. Part 2.- Multivariate Integral Inequalities deriving from Sobolev representations.-Introduction.-Background.-Main Results.- Applications, References. ...
    Disponible

    60,48 €

  • Fractional Differentiation Inequalities
    George A. Anastassiou
    In this book the author presents the Opial, Poincaré, Sobolev, Hilbert, and Ostrowski fractional differentiation inequalities. Results for the above are derived using three different types of fractional derivatives, namely by Canavati, Riemann-Liouville and Caputo. The univariate and multivariate cases are both examined. Each chapter is self-contained...
    Disponible

    216,87 €