Best Approximations, Lethargy Theorems and Smoothness

In this paper we consider sequences of best approximation. We first examine the rho best approximation function and its applications, through an example in approximation theory and two new examples in calculating n-widths. We then further discuss approximation theory by examining a modern proof of W...

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Bibliographic Details
Main Author: Case, Caleb
Format: Others
Published: Scholarship @ Claremont 2016
Subjects:
Online Access:http://scholarship.claremont.edu/cmc_theses/1225
http://scholarship.claremont.edu/cgi/viewcontent.cgi?article=2334&context=cmc_theses