On the polynomials, the least deviating from zero in $L[-1,1]$ metric (third part)

The present paper is the sequel of the results of the second part [2]. The theorems stated in [6] have been proved. These theorems contain the characterization of points of the sets $D_i(n,4)$, $i=\overline{1,4}$, from [2, Theorem 2.2] and present a final classification of polynomials, which are the least deviating from zero in themetric $L[-1,1]$ with four prescribed leading coefficients.