Author: Frans Schurer
Publisher:
ISBN:
Category :
Languages : en
Pages : 79
Book Description
On linear positive operators in approximation theory. Proefschrift, etc
Author: Frans Schurer
Publisher:
ISBN:
Category :
Languages : en
Pages : 79
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 79
Book Description
Approximation Theory Using Positive Linear Operators
Author: Radu Paltanea
Publisher: Springer Science & Business Media
ISBN: 1461220580
Category : Mathematics
Languages : en
Pages : 208
Book Description
Offers an examination of the multivariate approximation case Special focus on the Bernstein operators, including applications, and on two new classes of Bernstein-type operators Many general estimates, leaving room for future applications (e.g. the B-spline case) Extensions to approximation operators acting on spaces of vector functions Historical perspective in the form of previous significant results
Publisher: Springer Science & Business Media
ISBN: 1461220580
Category : Mathematics
Languages : en
Pages : 208
Book Description
Offers an examination of the multivariate approximation case Special focus on the Bernstein operators, including applications, and on two new classes of Bernstein-type operators Many general estimates, leaving room for future applications (e.g. the B-spline case) Extensions to approximation operators acting on spaces of vector functions Historical perspective in the form of previous significant results
On Linear Positive Operators in Approximation Theory
Author: Frans Schurer
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 92
Book Description
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 92
Book Description
On Linear Positive Operators in Approximation Theory
Author: Frans Schurer (Mathématicien).)
Publisher:
ISBN:
Category :
Languages : en
Pages : 79
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 79
Book Description
The Approximation of Continuous Functions by Positive Linear Operators
Author: Ronald A. De Vore
Publisher: Springer
ISBN: 3540379959
Category : Mathematics
Languages : en
Pages : 298
Book Description
Publisher: Springer
ISBN: 3540379959
Category : Mathematics
Languages : en
Pages : 298
Book Description
Approximation with Positive Linear Operators and Linear Combinations
Author: Vijay Gupta
Publisher: Springer
ISBN: 3319587951
Category : Mathematics
Languages : en
Pages : 193
Book Description
This book presents a systematic overview of approximation by linear combinations of positive linear operators, a useful tool used to increase the order of approximation. Fundamental and recent results from the past decade are described with their corresponding proofs. The volume consists of eight chapters that provide detailed insight into the representation of monomials of the operators Ln , direct and inverse estimates for a broad class of positive linear operators, and case studies involving finite and unbounded intervals of real and complex functions. Strong converse inequalities of Type A in terminology of Ditzian–Ivanov for linear combinations of Bernstein and Bernstein–Kantorovich operators and various Voronovskaja-type estimates for some linear combinations are analyzed and explained. Graduate students and researchers in approximation theory will find the list of open problems in approximation of linear combinations useful. The book serves as a reference for graduate and postgraduate courses as well as a basis for future study and development.
Publisher: Springer
ISBN: 3319587951
Category : Mathematics
Languages : en
Pages : 193
Book Description
This book presents a systematic overview of approximation by linear combinations of positive linear operators, a useful tool used to increase the order of approximation. Fundamental and recent results from the past decade are described with their corresponding proofs. The volume consists of eight chapters that provide detailed insight into the representation of monomials of the operators Ln , direct and inverse estimates for a broad class of positive linear operators, and case studies involving finite and unbounded intervals of real and complex functions. Strong converse inequalities of Type A in terminology of Ditzian–Ivanov for linear combinations of Bernstein and Bernstein–Kantorovich operators and various Voronovskaja-type estimates for some linear combinations are analyzed and explained. Graduate students and researchers in approximation theory will find the list of open problems in approximation of linear combinations useful. The book serves as a reference for graduate and postgraduate courses as well as a basis for future study and development.
Moments of Linear Positive Operators and Approximation
Author: Vijay Gupta
Publisher: Springer
ISBN: 3030194558
Category : Mathematics
Languages : en
Pages : 96
Book Description
This book is a valuable resource for Graduate students and researchers interested in current techniques and methods within the theory of moments in linear positive operators and approximation theory. Moments are essential to the convergence of a sequence of linear positive operators. Several methods are examined to determine moments including direct calculations, recurrence relations, and the application of hypergeometric series. A collection of operators in the theory of approximation are investigated through their moments and a variety of results are surveyed with fundamental theories and recent developments. Detailed examples are included to assist readers understand vital theories and potential applications.
Publisher: Springer
ISBN: 3030194558
Category : Mathematics
Languages : en
Pages : 96
Book Description
This book is a valuable resource for Graduate students and researchers interested in current techniques and methods within the theory of moments in linear positive operators and approximation theory. Moments are essential to the convergence of a sequence of linear positive operators. Several methods are examined to determine moments including direct calculations, recurrence relations, and the application of hypergeometric series. A collection of operators in the theory of approximation are investigated through their moments and a variety of results are surveyed with fundamental theories and recent developments. Detailed examples are included to assist readers understand vital theories and potential applications.
The Approximation of Continuous Functions by Positive Linear Operators
Author: Ronald A. De Vore
Publisher:
ISBN: 9783662179765
Category :
Languages : en
Pages : 304
Book Description
Publisher:
ISBN: 9783662179765
Category :
Languages : en
Pages : 304
Book Description
On Positive Linear Operators
Author: Farzaneh Jannat
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
Approximation theory received much attention in the last century, and an intriguing area in this field is positive linear operators. This thesis is a literature survey on positive linear operators. We discuss some of the well-known examples of positive linear operators. Preserving $k$-monotonicity by positive linear operators is another interesting topic in this area. We are interested if $L_n(f;x)$ is $k$-monotone whenever function $f$ is $k$-monotone. For a sequence of positive linear operators $\{L_n(f;x)\}$, it is a natural question if this sequence converges to $f(x)$ and how fast is this convergence. We study the saturation of these operators. Usually, there is a relation between the rate of convergence and the smoothness of the function being approximated. If increasing smoothness of functions does not result in the increase of the degree of approximation, this phenomenon is called saturation. We discuss iteration of general positive linear operators and give numerical examples.
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
Approximation theory received much attention in the last century, and an intriguing area in this field is positive linear operators. This thesis is a literature survey on positive linear operators. We discuss some of the well-known examples of positive linear operators. Preserving $k$-monotonicity by positive linear operators is another interesting topic in this area. We are interested if $L_n(f;x)$ is $k$-monotone whenever function $f$ is $k$-monotone. For a sequence of positive linear operators $\{L_n(f;x)\}$, it is a natural question if this sequence converges to $f(x)$ and how fast is this convergence. We study the saturation of these operators. Usually, there is a relation between the rate of convergence and the smoothness of the function being approximated. If increasing smoothness of functions does not result in the increase of the degree of approximation, this phenomenon is called saturation. We discuss iteration of general positive linear operators and give numerical examples.
Linear Operators and Approximation Theory
Author: Pavel Petrovich Korovkin
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 248
Book Description
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 248
Book Description