Geodesic
On Best Simultaneous Approximation in Normed Linear Spaces
Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 523-527

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Let S be a non-empty family of real valued continuous functions on [a, b]. Diaz and McLaughlin [1], [2], and Dunham [3] have considered the problem of simultaneously approximating two continuous functions f1 and f2 by elements of S. If || • || denotes the supremum norm, then the problem is to find an element * ∈ S if it exists, for which 
Goel, D. S.; Holland, A. S. B.; Nasim, C.; Sahney, B. N. On Best Simultaneous Approximation in Normed Linear Spaces. Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 523-527. doi: 10.4153/CMB-1974-092-5
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     author = {Goel, D. S. and Holland, A. S. B. and Nasim, C. and Sahney, B. N.},
     title = {On {Best} {Simultaneous} {Approximation} in {Normed} {Linear} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {523--527},
     year = {1974},
     volume = {17},
     number = {4},
     doi = {10.4153/CMB-1974-092-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-092-5/}
}
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