An Introduction to Polynomial Approximation Theory

Abstract

This is not meant to be original work. On the contrary, I have drawn very heavily from my source material. I first read the chapter in Apostol's book on numerical analysis to get a good background in approximation theory. I then. studied pertinent chapters in Davis' book, a much more detaile.d work, and drew most heavily from it in writing this thesis. In addition, a few proofs and comments were extracted from Dr. Rajnak's class notes. However, some of the work, most often the solutions to problems, is my own.