Geodesic
Polynomial approximation in the $L^p$-metric on disjoint segments
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 28, Tome 270 (2000), pp. 175-200

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The function Sobolev class on the union of a finite number of disjoint segments is described in terms of the rate of polynomial approximation. 
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     author = {N. Yu. Krasheninnikova and N. A. Shirokov},
     title = {Polynomial approximation in the $L^p$-metric on disjoint segments},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_270_a7/}
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N. Yu. Krasheninnikova; N. A. Shirokov. Polynomial approximation in the $L^p$-metric on disjoint segments. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 28, Tome 270 (2000), pp. 175-200. http://geodesic.mathdoc.fr/item/ZNSL_2000_270_a7/