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Convergence Estimates in Approximation Theory

Autor Vijay Gupta, Ravi P. Agarwal
en Limba Engleză Hardback – 23 ian 2014
The study of linear positive operators is an area of mathematical studies with significant relevance to studies of computer-aided geometric design, numerical analysis, and differential equations. This book focuses on the convergence of linear positive operators in real and complex domains. The theoretical aspects of these operators have been an active area of research over the past few decades. In this volume, authors Gupta and Agarwal explore new and more efficient methods of applying this research to studies in Optimization and Analysis. The text will be of interest to upper-level students seeking an introduction to the field and to researchers developing innovative approaches.
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Specificații

ISBN-13: 9783319027647
ISBN-10: 3319027646
Pagini: 376
Ilustrații: XIII, 361 p.
Dimensiuni: 155 x 235 x 27 mm
Greutate: 0.75 kg
Ediția:2014
Editura: Springer International Publishing
Colecția Springer
Locul publicării:Cham, Switzerland

Public țintă

Research

Cuprins

1. Preliminaries.- 2. Approximation by Certain Operators.- 3. Complete Asymptotic Expansion.- 4. Linear and Iterative Combinations.- 5. Better Approximation.- 6. Complex Operators in Compact Disks.- 7. Rate of Convergence for Functions of BV.- 8. Convergence for BV/Bounded Functions on Bezier Variants.- 9. Some More Results on Rate of Convergence.- 10. Rate of Convergence in Simultaneous Approximation.- 11. Future Scope and Open Problems.

Recenzii

From the book reviews:
“Within the field of approximation theory, the book deals with convergence results mainly for linear positive operators, an area of intensive research in the last few decades. It turns out to be a very useful tool for beginners and all those researchers interested in the aforesaid mathematical subject.” (Daniel Cárdenas-Morales, zbMATH, Vol. 1295, 2014)
“This monograph should be accessible to anyone familiar with the fundamentals of approximation theory, measure theory and functional analysis. The exposition is essentially self-contained. From this point of view, the book is of great interest to mathematicians and computer scientists working in the field of approximation theory and in related application areas.” (Octavian Agratini, Mathematical Reviews, August, 2014)

Textul de pe ultima copertă

The study of linear positive operators is an area of mathematical studies with significant relevance to studies of computer-aided geometric design, numerical analysis, and differential equations. This book focuses on the convergence of linear positive operators in real and complex domains. The theoretical aspects of these operators have been an active area of research over the past few decades. In this volume, authors Gupta and Agarwal explore new and more efficient methods of applying this research to studies in Optimization and Analysis. The text will be of interest to upper-level students seeking an introduction to the field and to researchers developing innovative approaches.

Caracteristici

Covers general approximation methods on linear positive operators Provides key results on study of convergence, its direct results, rate of convergence, and asymptotic behavior Presents convergence in real and complex domains