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Approximation of Continuous Functions by Monotone Sequences of Polynomials with Restricted Coefficients
Publications de l'Institut Mathématique, _N_S_44 (1988) no. 58, p. 45
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The problem of approximation by polynomials with restricted coefficients, is considered in several papers (e.g. [7--9]). In [1--6], I have proved among other things, that every $f\i C_{[0,1]}$ can be approximated uniformly by a polynomial sequence $(P_n)_n$ such that $(P_n)_n$ is monotonically decreasing on $[0,1]$. The aim of this paper is to extend the ideas of [1--6] to the case of approximation by polynomials with restricted coeficients.
Classification : 41A10 41A29 
@article{PIM_1988_N_S_44_58_a6,
     author = {S.G. Gal},
     title = {Approximation of {Continuous} {Functions} by {Monotone} {Sequences} of {Polynomials} with {Restricted} {Coefficients}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {45 },
     year = {1988},
     volume = {_N_S_44},
     number = {58},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1988_N_S_44_58_a6/}
}
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S.G. Gal. Approximation of Continuous Functions by Monotone Sequences of Polynomials with Restricted Coefficients. Publications de l'Institut Mathématique, _N_S_44 (1988) no. 58, p. 45 . http://geodesic.mathdoc.fr/item/PIM_1988_N_S_44_58_a6/