2019
Том 71
№ 5

All Issues

Koromyslichenko V. D.

Articles: 4
Article (Ukrainian)

Uniform approximations of functions and some properties of fractional polynomials

Koromyslichenko V. D.

Full text (.pdf)

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

Brief Communications (Russian)

Chebyshev approximations and the problem of moments

Koromyslichenko V. D.

Full text (.pdf)

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

Koromyslichenko V. D.

↓ Abstract   |   Full text (.pdf)

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

Koromyslichenko V. D.

↓ Abstract   |   Full text (.pdf)

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.