2019
Том 71
№ 9

# Koromyslichenko V. D.

Articles: 4
Article (Ukrainian)

### Uniform approximations of functions and some properties of fractional polynomials

Ukr. Mat. Zh. - 1972. - 24, № 6. - pp. 823—825

Brief Communications (Russian)

### Chebyshev approximations and the problem of moments

Ukr. Mat. Zh. - 1964. - 16, № 1. - pp. 105-115

Article (Russian)

### Some generaliation of Markov's problem and his basic theorem corresponding to the Chebyshev - Markov criterion. II

Ukr. Mat. Zh. - 1962. - 14, № 2. - pp. 145-159

In this paper analogs of the Chebyshev-Markov theorem for problem (2) are considered, taking into account deviation points only. The inverse Markov problem is also considered.

Article (Russian)

### 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

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.