Complex function approximation theory

Author: Shen Xiaochang
Publisher:
Publish Date: 2003-09-01
Features: This book systematically introduces important results and main methods in the theory of approximation of functions of a complex variable. The book is divided into four chapters: Chapter 1: Approximation of Polynomials and Rational Functions on Bounded Closed Sets in the Complex Plane, Chapter 2: Estimation of the Optimal Approximation Order of Polynomials in the Complex Plane, Chapter 3: Optimal Approximation of Rational Functions, Chapter 4: Approximation of Polynomials and Rational Functions in Bergman Spaces. The book includes the author's research achievements over the past decade. Many theorems in this book are proved in a clear and easy-to-understand manner, making it convenient for readers to grasp.