Sunday, August 5, 2007

Notes on Approximation Theory

I created the following notes for my Advanced Topics Exam: They are mostly based on ideas from both Ronald DeVore's "Nonlinear Approximation", and DeVore & Popov's "Interpolation of Besov Spaces." These notes pretend to serve as a tool to understand the problems that Constructive Approximation solve, most of the background results in this Theory, and the intimate relationship with other branches of Mathematics (for example, showing how working within a purely "Approximation Theory" scope, one can find Interpolation Spaces between Besov Spaces [Interpolation of Operators]).

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