2019
Том 71
№ 1

All Issues

Kuzmich V. I.

Articles: 4
Article (Ukrainian)

Convergence near a point and the Arzela-Ascoli-type theorems

Kuzmich V. I.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1993. - 45, № 8. - pp. 1090–1095

Theorems are proved giving necessary and sufficient conditions for the convergence of a sequence of continuous (differentiable) functions to a continuous (differentiable) function. The concepts of convergence near a point and equipotential convergence near a point are introduced. These concepts are introduced locally; on a segment, they are equivalent to the quasiuniform convergence and to the uniform convergence of a sequence of functions, respectively.

Article (Ukrainian)

Favard's method of summation of series

Kuzmich V. I.

Full text (.pdf)

Ukr. Mat. Zh. - 1983. - 35, № 2. - pp. 225—227

Article (Ukrainian)

Absolute summation of series by the Rogosinski-Bernstein method

Kuzmich V. I.

Full text (.pdf)

Ukr. Mat. Zh. - 1981. - 33, № 3. - pp. 398–406

Article (Ukrainian)

On some properties of the Hadamard products of functions which are regular in the disk

Gorbachuk V. I., Kuzmich V. I.

Full text (.pdf)

Ukr. Mat. Zh. - 1975. - 27, № 1. - pp. 74–81