Geodesic
Approximations of functions in the Hausdorff metric by piecewise monotonic (in particular, rational) functions
Sbornik. Mathematics, Tome 30 (1976) no. 4, pp. 449-477 
E. P. Dolzhenko; E. A. Sevast'yanov. Approximations of functions in the Hausdorff metric by piecewise monotonic (in particular, rational) functions. Sbornik. Mathematics, Tome 30 (1976) no. 4, pp. 449-477. http://geodesic.mathdoc.fr/item/SM_1976_30_4_a2/
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