Auteur: George A. Anastassiou

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George Anastassiou is Professor at the University of Memphis. Research interests include Computational analysis, approximation theory, probability, theory of moments. Professor Anastassiou has authored and edited several publications with Springer including « Fractional Differentiation Inequalities » (c) 2009, « Fuzzy Mathematics: Approximation Theory » (c) 2010, « Intelligent Systems: Approximation by Artificial Neural Networks » (c) 2014, « The History of Approximation Theory » (c) 2005, « Modern Differential Geometry in Gauge Theories » (c) 2006, and more. Razvan Alex Mezei received his Ph D from the University of Memphis and currently holds an assistant professorship and Lenoir-Rhyne University, Hickory, North Carolina. He teaches mathematics as well as computer science/IT courses to undergraduates and is a computing sciences program coordinator. Mezei has extensive experience in computer programming and software development and has written several publications with George Anastassiou.




50 Ebooks par George A. Anastassiou

George A. Anastassiou: Fractional Differentiation Inequalities
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 fractio …
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Anglais
€96.29
Sorin G. Gal: Global Smoothness and Shape Preserving Interpolation by Classical Operators
This monograph examines and develops the Global Smoothness Preservation Property (GSPP) and the Shape Preservation Property (SPP) in the field of interpolation of functions. The study is developed fo …
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Anglais
€53.49
Anastasios Mallios: Modern Differential Geometry in Gauge Theories
Differential geometry, in the classical sense, is developed through the theory of smooth manifolds. Modern differential geometry from the author’s perspective is used in this work to describe physica …
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Anglais
€96.29
Sorin G. Gal: Shape-Preserving Approximation by Real and Complex Polynomials
In many problems arising in engineering and science one requires approxi- tion methods to reproduce physical reality as well as possible. Very schema- cally, if the input data represents a complicate …
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Anglais
€53.49
George A. Anastassiou: Inequalities Based on Sobolev Representations
Inequalities based on Sobolev Representations deals exclusively with very general tight integral inequalities of Chebyshev-Grüss, Ostrowski types and of integral means, all of which depend upon the S …
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Anglais
€50.28
George A. Anastassiou: Approximation by Multivariate Singular Integrals
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 prope …
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Anglais
DRM
€52.99
George A. Anastassiou: Advances on Fractional Inequalities
Advances on Fractional Inequalities  use primarily the Caputo fractional derivative, as the most important in applications, and presents the first fractional differentiation inequalities of Opia …
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Anglais
€50.28
George A. Anastassiou & Oktay Duman: Advances in Applied Mathematics and Approximation Theory
Advances in Applied Mathematics and Approximation Theory: Contributions from AMAT 2012 is a collection of the best articles presented at “Applied Mathematics and Approximation Theory 2012, ” an inter …
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Anglais
€96.29
George A. Anastassiou: Ordinary and Fractional Approximation by Non-additive Integrals: Choquet, Shilkret and Sugeno Integral Approximators
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 a …
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Anglais
€96.29
George A. Anastassiou & Iuliana F. Iatan: Intelligent Routines II
“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 s …
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Anglais
€149.79
George A. Anastassiou & Razvan Mezei: Numerical Analysis Using Sage
This is the first numerical analysis text to use Sage for the implementation of algorithms and can be used in a one-semester course for undergraduates in mathematics, math education, computer science …
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Anglais
€47.59
George A. Anastassiou: Intelligent Systems II: Complete Approximation by Neural Network Operators
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 bo …
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Anglais
€178.49
George A. Anastassiou: Intelligent Comparisons: Analytic Inequalities
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 …
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Anglais
€178.49
George A. Anastassiou & Oktay Duman: Computational Analysis
Featuring the clearly presented and expertly-refereed contributions of leading researchers in the field of approximation theory,  this volume is a collection of the best contributions …
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Anglais
€149.79
George A. Anastassiou & Oktay Duman: Intelligent Mathematics II: Applied Mathematics and Approximation Theory
This special volume is a collection of outstanding more applied articles presented in AMAT 2015 held in Ankara, May 28-31, 2015, at TOBB Economics and Technology University. The collection is suitabl …
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Anglais
€309.23
George A. Anastassiou & Ioannis K. Argyros: Functional Numerical Methods: Applications to Abstract Fractional Calculus
This book presents applications of Newton-like and other similar methods to solve abstract functional equations involving fractional derivatives. It focuses on Banach space-valued functions of a real …
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Anglais
€96.29
George A. Anastassiou: Nonlinearity: Ordinary and Fractional Approximations by Sublinear and Max-Product Operators
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 an …
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Anglais
€96.29
George A. Anastassiou: Fuzzy Mathematics: Approximation Theory
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 …
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€226.09
George A. Anastassiou: Intelligent Mathematics: Computational Analysis
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 …
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Anglais
€213.99
George A. Anastassiou & Oktay Duman: Towards Intelligent Modeling: Statistical Approximation Theory
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 mathemat …
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Anglais
€96.29
George A. Anastassiou: Intelligent Systems: Approximation by Artificial Neural Networks
This brief monograph is the first one to deal exclusively with the quantitative approximation by artificial neural networks to the identity-unit operator. Here we study with rates the approximation p …
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Anglais
€96.29
George A. Anastassiou & Iuliana F. Iatan: Intelligent Routines
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 …
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Anglais
€255.73
Svetlozar T. Rachev: Handbook of Computational and Numerical Methods in Finance
Numerical Methods in Finance have recently emerged as a new discipline at the intersection of probability theory, finance and numerical analysis. They bridge the gap between financial theory and comp …
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DRM
€57.90
George A. Anastassiou & Sorin G. Gal: Approximation Theory
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 t …
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€115.20
Radu Paltanea: Approximation Theory Using Positive Linear Operators
We deal in this work with quantitative results in the pointwise approximation of func- tions by positive linear functionals and operators. One of the main objectives is to obtain estimates for the de …
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€57.42
George A. Anastassiou & Ioannis K. Argyros: Intelligent Numerical Methods: Applications to Fractional Calculus
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 l …
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€166.30
George A. Anastassiou & Ioannis K. Argyros: Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus
In this short monograph Newton-likeand other similar numerical methods with applications to solving multivariateequations are developed, which involve Caputotype fractional mixed partial derivatives …
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€115.20
George A. Anastassiou: Intelligent Comparisons II: Operator Inequalities and Approximations
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, …
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€115.17
George A. Anastassiou: Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations
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 …
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€115.15
George A Anastassiou: APPLIED MATHEMATICS REVIEWS (V1)
Applied mathematics connects the mathematical theory to the reality by solving real world problems and shows the power of the science of mathematics, greatly improving our lives. Therefore it plays a …
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€279.99
George A Anastassiou & Merve Kester: DISCRETE APPROXIMATION THEORY
In this monograph, we present the authors’ recent work of the last seven years in Approximation Theory. Chapters are self-contained and can be read independently and advanced courses can be taught ou …
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€114.99
George A Anastassiou: Probabilistic Inequalities
In this monograph, the author presents univariate and multivariate probabilistic inequalities with coverage on basic probabilistic entities like expectation, variance, moment generating function and …
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DRM
€199.99
George A Anastassiou: ADVANCED INEQUALITIES (V11)
This monograph presents univariate and multivariate classical analyses of advanced inequalities. This treatise is a culmination of the author’s last thirteen years of research work. The chapters are …
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€214.99
George A Anastassiou: FRONTIERS IN APPROXIMATION THEORY
This monograph presents the author’s work of the last five years in approximation theory. The chapters are self-contained and can be read independently. Readers will find the topics covered are diver …
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€41.99
George A Anastassiou: FRONTIERS IN TIME SCALES AND INEQUALITIES
This monograph contains the author’s work of the last four years in discrete and fractional analysis. It introduces the right delta and right nabla fractional calculus on time scales and continues wi …
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€40.99
George A. Anastassiou & John Michael Rassias: Frontiers in Functional Equations and Analytic Inequalities
This volume presents cutting edge research from the frontiers of functional equations and analytic inequalities active fields. It covers the subject of functional equations in a broad sense, includin …
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Anglais
€96.29
George A. Anastassiou: Generalized Fractional Calculus
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 …
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Anglais
€149.79
George A. Anastassiou: Constructive Fractional Analysis with Applications
This book includes constructive approximation theory; it presents ordinary and fractional approximations by positive sublinear operators, and high order approximation by multivariate generalized Pica …
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Anglais
€160.49
George A. Anastassiou: Intelligent Analysis: Fractional Inequalities and Approximations Expanded
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 i …
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€169.20
George A. Anastassiou: Unification of Fractional Calculi with Applications
This book demonstrates the unifying methods of generalized versions of Hilfer, Prabhakar and Hilfer–Prabhakar fractional calculi, and we establish related unifying fractional integral inequalities of …
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Anglais
€160.49
George A. Anastassiou: Abstract Fractional Monotone Approximation, Theory and Applications
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, a …
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Anglais
€139.09
George A. Anastassiou: Fractional Inequalities In Banach Algebras
This book presents generalized Caputo fractional Ostrowski and Grüss-type inequalities involving several Banach algebra valued functions. Furthermore, the author gives generalized Canavati fractional …
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Anglais
€160.49
Jagdev Singh & George A. Anastassiou: Advances in Mathematical Modelling, Applied Analysis and Computation
This book is a valuable source for graduate students and researchers and provides a comprehensive introduction to recent theories and applications of mathematical modeling and numerical simulation. I …
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Anglais
€213.99
George A. Anastassiou: Banach Space Valued Neural Network
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 …
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Anglais
DRM
€164.54
Jagdev Singh & George A. Anastassiou: Advances in Mathematical Modelling, Applied Analysis and Computation
The book is very useful for researchers, graduate students and educators associated with or interested in recent advances in different aspects of modelling, computational methods and techniques neces …
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Anglais
€287.83
George A. Anastassiou: Parametrized, Deformed and General Neural Networks
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 asymm …
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Anglais
DRM
€256.63
Jagdev Singh & George A. Anastassiou: Advances in Mathematical Modelling, Applied Analysis and Computation
This book gathers selected research articles presented in the “6th International Conference on Mathematical Modelling, Applied Analysis and Computation (ICMMAAC)”, held at JECRC University, Jaipur, d …
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Anglais
€213.99
Jagdev Singh & George A. Anastassiou: Advances in Mathematical Modelling, Applied Analysis and Computation
This book gathers selected research articles presented in the “6th International Conference on Mathematical Modelling, Applied Analysis and Computation (ICMMAAC)”, held at JECRC University, Jaipur, d …
PDF
Anglais
€213.99