Details

Approximation with Positive Linear Operators and Linear Combinations


Approximation with Positive Linear Operators and Linear Combinations


Developments in Mathematics, Band 50

von: Vijay Gupta, Gancho Tachev

CHF 118.00

Verlag: Springer
Format: PDF
Veröffentl.: 27.06.2017
ISBN/EAN: 9783319587950
Sprache: englisch

Dieses eBook enthält ein Wasserzeichen.

Beschreibungen

<p>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 <i>Ln</i> , 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 graduateand postgraduate courses as well as a basis for future study and development. </p><p> </p>
<p>1. Moments and Linear Combinations of Positive Linear Operators.- 2. Direct Estimates for Approximation by Linear Combinations.- 3. Inverse Estimates and Saturation Results for Linear Combinations.- 4. Voronovskaja Type Estimates.- 5. Pointwise Estimates for Linear Combinations.- 6. Voronovskaja's Theorem in Terms of Weighted Modulus of Continuity.- 7. Direct Estimates for Some New Operators.- 8. Convergence for Operators Based on Pǎltǎanea Basis.- Bibliography.- Index. </p>
<div><p>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 <i>Ln</i> , 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.  </p></div><div><br/></div>
Overviews approximation by linear combinations of positive linear operators Enriches understanding of fundamental and recent results from the past decade Serves as a reference for graduate courses and a basis for future study and development Includes supplementary material: sn.pub/extras

Diese Produkte könnten Sie auch interessieren:

Classical Fourier Analysis
Classical Fourier Analysis
von: Loukas Grafakos
PDF ebook
CHF 73.00
Nonsmooth Dynamics of Contacting Thermoelastic Bodies
Nonsmooth Dynamics of Contacting Thermoelastic Bodies
von: Jan Awrejcewicz, Yuriy Pyr'yev
PDF ebook
CHF 130.00
Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
von: Kenneth Meyer, Glen Hall, Dan Offin
PDF ebook
CHF 124.00