Geodesic
A~method of approximation by rational functions on the real line
Matematičeskie zametki, Tome 22 (1977) no. 3, pp. 375-380.

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For a given system of numbers $\{z_k\}_{k=1}^n$, $\operatorname{Im}z_k>0$, rational functions of order $4n-2$ are constructed which effect for a function $f(x)\in C_\infty$ an approximation of the same order as the best approximation by proper rational functions having poles at the points $\{z_k\}_{k=1}^n$ and $\{\overline z_k\}_{k=1}^n$. 
@article{MZM_1977_22_3_a6,
     author = {V. N. Rusak},
     title = {A~method of approximation by rational functions on the real line},
     journal = {Matemati\v{c}eskie zametki},
     pages = {375--380},
     publisher = {mathdoc},
     volume = {22},
     number = {3},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_3_a6/}
}
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V. N. Rusak. A~method of approximation by rational functions on the real line. Matematičeskie zametki, Tome 22 (1977) no. 3, pp. 375-380. http://geodesic.mathdoc.fr/item/MZM_1977_22_3_a6/