Geodesic
The approximation of functions by algebraic polynomials
Izvestiya. Mathematics , Tome 2 (1968) no. 4, pp. 735-743

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In this paper we present a new method for approximating functions by algebraic polynomials. Using this method we prove an approximation theorem in the most general situation, taking into account the position of the point in the interval. 
@article{IM2_1968_2_4_a4,
     author = {Yu. A. Brudnyi},
     title = {The approximation of functions by algebraic polynomials},
     journal = {Izvestiya. Mathematics },
     pages = {735--743},
     publisher = {mathdoc},
     volume = {2},
     number = {4},
     year = {1968},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1968_2_4_a4/}
}
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Yu. A. Brudnyi. The approximation of functions by algebraic polynomials. Izvestiya. Mathematics , Tome 2 (1968) no. 4, pp. 735-743. http://geodesic.mathdoc.fr/item/IM2_1968_2_4_a4/