On a class of factors of the Chebyshev polynomials

The article defines a class of $D_n(x)$ polynomials by specially designed nodes. Each of $D_n(x)$ is the factor of the Chebyshev polynomial of the first kind $T_{2n}(x)$. The research task for polynomials $D_n(x)$ on the interval $[0,1]$ is reduced to find values $D_n(x)$. The article contains exact expressions and estimates of values $D_n(x)$ in special nodes.