Geodesic
Rate of approximation of piecewise-analytic functions by rational fractions in the $L_p$-metrics, $0$
Sbornik. Mathematics, Tome 36 (1980) no. 2, pp. 203-212

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In this paper estimates are found for $L_pR_n(f)$ – the least deviation in the $L_p$-metric, $0$, of a piecewise analytic function $f$ from the rational functions of degree at most $n$. It is shown that these estimates are sharp in a well-defined sense. Bibliography: 13 titles. 
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     author = {N. S. Vyacheslavov},
     title = {Rate of approximation of piecewise-analytic functions by rational fractions in the $L_p$-metrics, $0<p\leqslant\infty$},
     journal = {Sbornik. Mathematics},
     pages = {203--212},
     publisher = {mathdoc},
     volume = {36},
     number = {2},
     year = {1980},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1980_36_2_a4/}
}
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N. S. Vyacheslavov. Rate of approximation of piecewise-analytic functions by rational fractions in the $L_p$-metrics, $0