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
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
Spectral Approximation of Linear Operators
Author: Francoise Chatelin
Publisher: SIAM
ISBN: 0898719992
Category : Mathematics
Languages : en
Pages : 482
Book Description
Originally published: New York: Academic Press, 1983.
Publisher: SIAM
ISBN: 0898719992
Category : Mathematics
Languages : en
Pages : 482
Book Description
Originally published: New York: Academic Press, 1983.
Linear Operators and Approximation
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.
Linear Operators and Approximation Theory
Author: P. P. Korovkin
Publisher:
ISBN: 9780677201702
Category :
Languages : en
Pages : 0
Book Description
Publisher:
ISBN: 9780677201702
Category :
Languages : en
Pages : 0
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
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
Linear Operators and Approximation Theory
Linear Operator Equations
Author: M. Thamban Nair
Publisher: World Scientific
ISBN: 9812835652
Category : Mathematics
Languages : en
Pages : 264
Book Description
Many problems in science and engineering have their mathematical formulation as an operator equation Tx=y, where T is a linear or nonlinear operator between certain function spaces. In practice, such equations are solved approximately using numerical methods, as their exact solution may not often be possible or may not be worth looking for due to physical constraints. In such situations, it is desirable to know how the so-called approximate solution approximates the exact solution, and what the error involved in such procedures would be. This book is concerned with the investigation of the above theoretical issues related to approximately solving linear operator equations. The main tools used for this purpose are basic results from functional analysis and some rudimentary ideas from numerical analysis. To make this book more accessible to readers, no in-depth knowledge on these disciplines is assumed for reading this book.
Publisher: World Scientific
ISBN: 9812835652
Category : Mathematics
Languages : en
Pages : 264
Book Description
Many problems in science and engineering have their mathematical formulation as an operator equation Tx=y, where T is a linear or nonlinear operator between certain function spaces. In practice, such equations are solved approximately using numerical methods, as their exact solution may not often be possible or may not be worth looking for due to physical constraints. In such situations, it is desirable to know how the so-called approximate solution approximates the exact solution, and what the error involved in such procedures would be. This book is concerned with the investigation of the above theoretical issues related to approximately solving linear operator equations. The main tools used for this purpose are basic results from functional analysis and some rudimentary ideas from numerical analysis. To make this book more accessible to readers, no in-depth knowledge on these disciplines is assumed for reading this book.
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.