4 citations · 6 across the 2 of their papers we have counts for
4 papers
Dual mean value problem for complex polynomials
Vladimir Dubinin, Toshiyuki Sugawa
We consider an extremal problem for polynomials, which is dual to the well-known Smale mean value problem. We give a rough estimate depending only on the degree.
Two-sided bounds for the logarithmic capacity of multiple intervals
V. N. Dubinin, D. Karp
Potential theory on the complement of a subset of the real axis attracts a lot of attention both in function theory and applied sciences. The paper discusses one aspect of the theo…
Robin functions and distortion theorems for regular mappings
Vladimir N. Dubinin, Matti Vuorinen
Capacities of generalized condensers are applied to prove a two-point distortion theorem for conformal mappings. The result is expressed in terms of the Robin function and the Robi…
On conformal moduli of polygonal quadrilaterals
V. N. Dubinin, M. Vuorinen
The change of conformal moduli of polygonal quadrilaterals under some geometric transformations is studied. We consider the motion of one vertex when the other vertices remain fixe…