Geodesic
Two problems concerning uniform polynomial approximation of continuous functions
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 2, pp. 268-271 Cet article a éte moissonné depuis la source Math-Net.Ru

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We remind two theorems closely connected with the fundamental P. L. Chebyshev's theorem on the best approximation of functions by polynomials, namely S. N. Bernstein's theorem on reconstruction of a function by its deviations from polynomials, and the author's one on distribution of Chebyshev's alternance points. In connection with this two results two open (in author's opinion) problems are formulated. 
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     author = {Mikhail I. Kadets},
     title = {Two problems concerning uniform polynomial approximation of continuous functions},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {268--271},
     year = {2002},
     volume = {9},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2002_9_2_a13/}
}
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Mikhail I. Kadets. Two problems concerning uniform polynomial approximation of continuous functions. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 2, pp. 268-271. http://geodesic.mathdoc.fr/item/JMAG_2002_9_2_a13/