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20 produkter
Approximation Theory
Moduli of Continuity and Global Smoothness Preservation
Av George A. Anastassiou, Sorin G. Gal
Inbunden, 1999
1096 kr
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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 …
Global Smoothness and Shape Preserving Interpolation by Classical Operators
Av Sorin G. Gal
Inbunden, 2005
552 kr
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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 for the univariate and bivariate cases using well-known classical interpolation operators of Lagrange, …
Global Smoothness and Shape Preserving Interpolation by Classical Operators
Av Sorin G. Gal
E-bok, 2006
734 kr
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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 for the univariate and bivariate cases using well-known classical interpolation operators of Lagrange, …
Shape-Preserving Approximation by Real and Complex Polynomials
Av Sorin G. Gal
Inbunden, 2008
552 kr
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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 complicated discrete/continuous quantity of information, of “shape” S (S could mean, for example, that we have …
Shape-Preserving Approximation by Real and Complex Polynomials
Av Sorin G. Gal
E-bok, 2010
710 kr
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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 complicated discrete/continuous quantity of information, of “shape” S (S could mean, for example, that we have …
Approximation Theory
Moduli of Continuity and Global Smoothness Preservation
Av Sorin G. Gal, George A. Anastassiou
E-bok, 2012
1459 kr
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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 …
Approximation Theory
Moduli of Continuity and Global Smoothness Preservation
Av George A. Anastassiou, Sorin G. Gal
Häftad, 2012
1096 kr
Lägg i varukorg
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 …
Overconvergence in Complex Approximation
Av Sorin G. Gal
Inbunden, 2013
552 kr
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This monograph deals with the quantitative overconvergence phenomenon in complex approximation by various operators. The book is divided into three chapters. First, the results for the Schurer-Faber operator, Beta operators of first kind, Bernstein-Durrmeyer-type operators and Lorentz operator are …
Overconvergence in Complex Approximation
Av Sorin G. Gal
E-bok, 2014
734 kr
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This monograph deals with the quantitative overconvergence phenomenon in complex approximation by various operators. The book is divided into three chapters. First, the results for the Schurer-Faber operator, Beta operators of first kind, Bernstein-Durrmeyer-type operators and Lorentz operator are …
Overconvergence in Complex Approximation
Av Sorin G. Gal
Häftad, 2015
552 kr
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This monograph deals with the quantitative overconvergence phenomenon in complex approximation by various operators. The book is divided into three chapters. First, the results for the Schurer-Faber operator, Beta operators of first kind, Bernstein-Durrmeyer-type operators and Lorentz operator are …
Quaternionic Approximation
With Application to Slice Regular Functions
Av Sorin G. Gal, Irene Sabadini
Häftad, 2019
604 kr
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This book presents the extensions to the quaternionic setting of some of the main approximation results in complex analysis. It also includes the main inequalities regarding the behavior of the derivatives of polynomials with quaternionic cofficients. With some few exceptions, all the material in …
Quaternionic Approximation
With Application to Slice Regular Functions
Av Irene Sabadini, Sorin G. Gal
E-bok, 2019
789 kr
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This book presents the extensions to the quaternionic setting of some of the main approximation results in complex analysis. It also includes the main inequalities regarding the behavior of the derivatives of polynomials with quaternionic cofficients. With some few exceptions, all the material in …
Choquet Integral and Monotone Sublinear Operators
Av Sorin G. Gal, Constantin P. Niculescu
Häftad, 2026
606 kr
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This book is primarily addressed to graduate students and researchers interested in exploring problems connected to mathematics, statistics, finance, insurance, climate change, and machine learning. The basic tools include the capacity theory and the Choquet integral, recognized for their …
Choquet Integral and Monotone Sublinear Operators
Av Constantin P. Niculescu, Sorin G. Gal
E-bok, 2026
797 kr
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This book is primarily addressed to graduate students and researchers interested in exploring problems connected to mathematics, statistics, finance, insurance, climate change, and machine learning. The basic tools include the capacity theory and the Choquet integral, recognized for their …
Approximation by Max-Product Type Operators
Av Barnabás Bede, Lucian Coroianu m. fl.
Inbunden, 2016
1096 kr
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This monograph presents a broad treatment of developments in an area of constructive approximation involving the so-called "max-product" type operators. The exposition highlights the max-product operators as those which allow one to obtain, in many cases, more valuable estimates than those obtained …
Approximation by Max-Product Type Operators
Av Sorin G. Gal, Lucian Coroianu m. fl.
E-bok, 2016
1427 kr
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This monograph presents a broad treatment of developments in an area of constructive approximation involving the so-called "max-product" type operators. The exposition highlights the max-product operators as those which allow one to obtain, in many cases, more valuable estimates than those obtained …
Approximation by Max-Product Type Operators
Av Barnabás Bede, Lucian Coroianu m. fl.
Häftad, 2018
1173 kr
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This monograph presents a broad treatment of developments in an area of constructive approximation involving the so-called "max-product" type operators. The exposition highlights the max-product operators as those which allow one to obtain, in many cases, more valuable estimates than those obtained …
DEFECTS OF PROPERTIES IN MATHEMATICS: QUANTITATIVE CHARACTERIZATIONS
Av Adrian I. Ban, Sorin G. Gal
Inbunden, 2002
1895 kr
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This book introduces a method of research which can be used in various fields of mathematics. It examines, in a systematic way, the quantitative characterizations of the “deviation from a (given) property”, called the “defect of a property”, in: set theory; topology; measure theory; real, complex …
APPROXIMATION BY COMPLEX BERNSTEIN AND CONVOLUTION TYPE OPERATORS
Av Sorin G Gal
Inbunden, 2009
1936 kr
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The monograph, as its first main goal, aims to study the overconvergence phenomenon of important classes of Bernstein-type operators of one or several complex variables, that is, to extend their quantitative convergence properties to larger sets in the complex plane rather than the real intervals. …
EVOLUTION EQUATIONS WITH A COMPLEX SPATIAL VARIABLE
Av Ciprian G Gal, Sorin G Gal m. fl.
Inbunden, 2014
1172 kr
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This book investigates several classes of partial differential equations of real time variable and complex spatial variables, including the heat, Laplace, wave, telegraph, Burgers, Black–Merton–Scholes, Schrödinger and Korteweg–de Vries equations.The complexification of the spatial variable is done …