3 citations · 4 across the 3 of their papers we have counts for
4 papers
Extremal problem of area approximation
O. O. Pokutnyi, R. R. Salimov, M. V. Stefanchuk
This paper investigates the problem of optimal piecewise linear approximation of a smooth curve, in which the area of the region enclosed between the graph of the original function…
Asymptotic dilation of regular homeomorphisms
Anatoly Golberg, Ruslan Salimov, Maria Stefanchuk
We study the asymptotic behavior of the ratio as for mappings differentiable a.e. in the unit disc with non-degenerated Jacobian. The main tools involve the l…
Generalizations of the shadow problem
Yu. B. Zelinskii, M. V. Stefanchuk
We received a solution of the shadow problem in n-dimensional Euclidean space for a family of sets, constructing from any convex domain having nonempty interior with the help of pa…
Generalized convex sets and shadows problem
Yurii Zelinskii, Irina Vyhovska, Maria Stefanchuk
The problem of shadow is solved. It is equivalent to condition for point is in generalized convex hull of a family of compact sets.