Geodesic
Necessity of Alteration
Canadian mathematical bulletin, Tome 10 (1967) no. 5, pp. 743-744

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In this note we point out a not easily fillable gap in the proof of a major result in Chebyshev approximations on an interval [α, β]. Tornheim developed a theory for approximation by families unisolvent of degree n (n-parameter families), which was extended by Rice to families unisolvent of variable degree. 
Dunham, C. Necessity of Alteration. Canadian mathematical bulletin, Tome 10 (1967) no. 5, pp. 743-744. doi: 10.4153/CMB-1967-078-8
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[1] 1. Rice, J.. Tchebycheff approximations by functions unisolvent of variable degree, Trans. Amer. Math. Soc., 9 (1966), 298-302. Google Scholar

[2] 2. Tornheim, L.. On n - parameter families of functions and associated convex functions, Trans. Amer. Math. Soc, 9 (1955) 457-467. Google Scholar

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