
Convergence Estimates in Approximation Theory
Springer (Publisher)
Published on 23. January 2014
Book
Hardback
XIII, 361 pages
978-3-319-02764-7 (ISBN)
Description
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.
Reviews / Votes
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)More details
Edition
2014 ed.
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Research
Illustrations
XIII, 361 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 26 mm
Weight
729 gr
ISBN-13
978-3-319-02764-7 (9783319027647)
DOI
10.1007/978-3-319-02765-4
Schweitzer Classification
Other editions
Additional editions

Vijay Gupta | Ravi P. Agarwal
Convergence Estimates in Approximation Theory
Book
08/2016
Springer
€106.99
Shipment within 10-15 days

Vijay Gupta | Ravi P. Agarwal
Convergence Estimates in Approximation Theory
E-Book
01/2014
1st Edition
Springer
€96.29
Available for download
Content
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.