Year of Publication
Doctor of Philosophy (PhD)
Arts and Sciences
Dr. James E. Brennan
A connection is established between uniform rational approximation, and approximation in the mean by polynomials on compact nowhere dense subsets of the complex plane C. Peak points for R(X) and bounded point evaluations for Hp(X, dA), 1 ≤ p < ∞, play a fundamental role.
Militzer, Erin, "Lp Bounded Point Evaluations for Polynomials and Uniform Rational Approximation" (2010). University of Kentucky Doctoral Dissertations. 106.