PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 44(58), pp. 4548 (1988) 

APPROXIMATION OF CONTINUOUS FUNCTIONS BY MONOTONE SEQUENCES OF POLYNOMIALS WITH RESTRICTED COEFFICIENTSS.G. GalComputer Center Infrv{a}tirea, 37000 Oradea, RomaniaAbstract: The problem of approximation by polynomials with restricted coefficients, is considered in several papers (e.g. [79]). In [16], 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 [16] to the case of approximation by polynomials with restricted coeficients. Classification (MSC2000): 41A10; 41A29 Full text of the article:
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