2017
Том 69
№ 7

All Issues

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.

Full text (.pdf)


Abstract

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.

Full text