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math.OC2022
On best uniform approximation of finite sets by linear combinations of real valued functions using linear programming
Steven B. Damelin, Michael Werman
We study the best approximation problem: \[ \displaystyle \min_{α\in \mathbb R^m}\max_{1\leq i\leq n}\left|y_i -\sum_{j=1}^m α_j Γ_j ({\bf x}_i) \right|. \] Here: $Γ:=\left\{Γ_1,..…
math.OC2018★ 1 cited
On Min-Max affine approximants of convex or concave real valued functions from , Chebyshev equioscillation and graphics
Steven B. Damelin, David L. Ragozin, Michael Werman
We study Min-Max affine approximants of a continuous convex or concave function where is a convex compact subset of $\mathbb R^…