Agarwal R. Convergence Estimates in Approximation Theory 2014

Textbook in PDF format

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.
Preliminaries
Approximation by Certain Operators
Complete Asymptotic Expansion
Linear and Iterative Combinations
Better Approximation
Complex Operators in Compact Disks
Rate of Convergence for Functions of Bounded Variation
Convergence for Bounded Functions on Bézier Variants
Some More Results on the Rate of Convergence
Rate of Convergence in Simultaneous Approximation
Future Scope and Open Problems