Geodesic
On polynomial bases for the space $C[-1,1]$
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 27, Tome 262 (1999), pp. 223-226

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For any $\varepsilon>0$ an orthogonal basis for the space $C[-1,1]$ is constructed consisting of algebraic polynomials $P_n$ with deg $P_n\le n(1+\varepsilon)$. The growth of degrees is best possible. 
@article{ZNSL_1999_262_a12,
     author = {M. A. Skopina},
     title = {On polynomial bases for the space $C[-1,1]$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {223--226},
     publisher = {mathdoc},
     volume = {262},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_262_a12/}
}
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M. A. Skopina. On polynomial bases for the space $C[-1,1]$. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 27, Tome 262 (1999), pp. 223-226. http://geodesic.mathdoc.fr/item/ZNSL_1999_262_a12/