Geodesic
Approximation of continuous functions by broken lines
Matematičeskie zametki, Tome 6 (1969) no. 2, pp. 149-160

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Exact estimates for the approximation of continuous functions by broken lines are found. 
@article{MZM_1969_6_2_a2,
     author = {A. S. Loginov},
     title = {Approximation of continuous functions by broken lines},
     journal = {Matemati\v{c}eskie zametki},
     pages = {149--160},
     publisher = {mathdoc},
     volume = {6},
     number = {2},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_2_a2/}
}
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A. S. Loginov. Approximation of continuous functions by broken lines. Matematičeskie zametki, Tome 6 (1969) no. 2, pp. 149-160. http://geodesic.mathdoc.fr/item/MZM_1969_6_2_a2/