2 papers
math.OC2026
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…
math.CV2018
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…