Approximation with positive linear opera
β Gupta, Vijay; Tachev, Gancho
π Library
π
2017
π Springer
π English
β¦ LIBER β¦
π
Approximation with positive linear operators and linear combinations
β Scribed by Gupta, Vijay; Tachev, Gancho
- Publisher
- Springer
- Year
- 2017
- Tongue
- English
- Leaves
- 193
- Series
- Developments in mathematics 50
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
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 Read more...
Abstract: 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
β¦ Table of Contents
Front Matter ....Pages i-xiii
Moments and Combinations of Positive Linear Operators (Vijay Gupta, Gancho Tachev)....Pages 1-14
Direct Estimates for Approximation by Linear Combinations (Vijay Gupta, Gancho Tachev)....Pages 15-23
Inverse Estimates and Saturation Results for Linear Combinations (Vijay Gupta, Gancho Tachev)....Pages 25-36
Voronovskaja-Type Estimates (Vijay Gupta, Gancho Tachev)....Pages 37-65
Pointwise Estimates for Linear Combinations (Vijay Gupta, Gancho Tachev)....Pages 67-87
Voronovskajaβs Theorem in Terms of Weighted Modulus of Continuity (Vijay Gupta, Gancho Tachev)....Pages 89-116
Direct Estimates for Some New Operators (Vijay Gupta, Gancho Tachev)....Pages 117-155
Convergence for Operators Based on PΗltΗnea Basis (Vijay Gupta, Gancho Tachev)....Pages 157-173
Back Matter ....Pages 175-186
β¦ Subjects
Approximation theory;Linear operators;MATHEMATICS -- General
π SIMILAR VOLUMES
Moments of Linear Positive Operators and
β Vijay Gupta, Michael Th. Rassias
π Library
π
2019
π Springer International Publishing
π English
<p><p>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 m
Moments of Linear Positive Operators and
β Vijay Gupta, Michael Th. Rassias
π Library
π
2019
π Springer
π English
<p>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 meth
Approximation Theory Using Positive Line
β Radu PΔltΔnea (auth.)
π Library
π
2004
π BirkhΓ€user Basel
π English
<p><P>This work treats quantitative aspects of the approximation of functions using positive linear operators. The theory of these operators has been an important area of research in the last few decades, particularly as it affects computer-aided geometric design. In this book, the crucial role of t
Approximation Theory Using Positive Line
β Radu Paltanea
π Library
π
2004
π BirkhΓ€user
π English
<p><span>Offers an examination of the multivariate approximation case </span></p><p><span>Special focus on the Bernstein operators, including applications, and on two new classes of Bernstein-type operators </span></p><p><span>Many general estimates, leaving room for future applications (e.g. the B-
Linear Operator Equations: Approximation
β M. Thamban Nair
π Library
π
2009
π World Scientific Publishing Company
π English
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