The author considers the best — in the Chebyshev sense — approach of a continuous real-numerical function $f(x)$ given on a bicompact hausdorff space $G$, by means of a generalized polynomial
$F(x) = \sum^n_{j=0}a_j\varphi_j(x)$
where continuous linearly independent functions $\{\varphi_j(x)\}^n_0$ form a system of Chebyshev functions ($T$-system) on the indicated space with $p \leq n$ linear links between the parameters of the polynomial.
Citation Example:Koromyslichenko V. D. Some generalizations of V. Markov's problem
and his basic theorem corresponding to the P. L. Chebyshev — A. A. Markov criterion. І // Ukr. Mat. Zh. - 1961. - 13, № 3. - pp. 59-74.
