2019
Том 71
№ 11

All Issues

Kovtunets V. V.

Articles: 5
Anniversaries (Ukrainian)

Vladyslav Kyrylovych Dzyadyk (on his 100th birthday)

Dzyadyk Yu. V., Holub A. P., Kovtunets V. V., Letychevs’kyi O. A., Lukovsky I. O., Makarov V. L., Romanyuk A. S., Samoilenko A. M., Serdyuk A. S., Shevchuk I. A., Zadiraka V. K.

Full text (.pdf)

Ukr. Mat. Zh. - 2019. - 71, № 2. - pp. 147-150

Article (Ukrainian)

Convergence of an algorithm for constructing snakes

Dzyadyk V. K., Kovtunets V. V.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1994. - 46, № 7. - pp. 825–832

We investigate an algorithm for constructing snakes (extremal polynomials introduced by S. Karlin) suggested by Dzyadyk. It is proved that, in the general case, this algorithm is linearly convergent. In the case where the basis functions of the Chebyshev system belong to the class $C^2$, this algorithm is quadratically convergent.

Article (Ukrainian)

Differential properties of the operator of best approximation of complex-valued functions. II

Kovtunets V. V.

Full text (.pdf)

Ukr. Mat. Zh. - 1987. - 39, № 6. - pp. 721–727

Article (Ukrainian)

Differential properties of the best-approximation operator for complex-valued functions. I

Kovtunets V. V.

Full text (.pdf)

Ukr. Mat. Zh. - 1986. - 38, № 4. - pp. 437–443

Article (Ukrainian)

Generalization of S. N. Bernshtein's parametric method

Kovtunets V. V.

Full text (.pdf)

Ukr. Mat. Zh. - 1983. - 35, № 6. - pp. 689-695