The convergence of the best discrete linear Lp approximation as p → 1

Author:

Fischer Jürgen

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference10 articles.

1. Computing the strict Chebyshev solution of overdetermined linear equations;Abdelmalek;Math. Comp.,1977

2. Introduction to Approximation Theory;Cheney,1966

3. Approximations in Lp and Chebyshev approximations;Descloux;J. SIAM,1963

4. A finite step algorithm for determining the “strict” Chebyshev solution to Ax = b;Duris;SIAM J. Numer. Anal.,1973

5. An algorithm for discrete linear Lp approximation;Fischer;Numer. Math.,1981

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1. Taylor expansion of best lp-approximations about p = 1;Applied Mathematics Letters;2003-10

2. Rate of Convergence of the Linear Discrete Pólya 1-Algorithm;Journal of Approximation Theory;2002-10

3. Approximation in normed linear spaces;Numerical Analysis: Historical Developments in the 20th Century;2001

4. Approximation in normed linear spaces;Journal of Computational and Applied Mathematics;2000-09

5. Uniform Lipschitz Continuity of Bestlp-Approximations by Polyhedral Sets;Journal of Mathematical Analysis and Applications;1998-12

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