Geodesic
Alternating Chebyshev Approximation with A Non-Continuous Weight Function
Canadian mathematical bulletin, Tome 19 (1976) no. 2, pp. 155-157

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Let [α, β] be a closed interval and C[α, β] be the space of continuous functions on [α, β], For g a function on [α, β] define Let s be a non-negative function on [α, β]. Let F be an approximating function with parameter space P such that F(A, .)∊ C[α, β] for all A∊P. The Chebyshev problem with weight s is given f ∊ C[α, β], to find a parameter A* ∊ P to minimize e(A) = ||s * (f - F(A, .))|| over A∊P. Such a parameter A* is called best and F(A*,.) is called a best approximation to f. 
Dunham, Charles B. Alternating Chebyshev Approximation with A Non-Continuous Weight Function. Canadian mathematical bulletin, Tome 19 (1976) no. 2, pp. 155-157. doi: 10.4153/CMB-1976-023-9
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     title = {Alternating {Chebyshev} {Approximation} with {A} {Non-Continuous} {Weight} {Function}},
     journal = {Canadian mathematical bulletin},
     pages = {155--157},
     year = {1976},
     volume = {19},
     number = {2},
     doi = {10.4153/CMB-1976-023-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-023-9/}
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