Affiliation:
1. Zhytomyr Ivan Franko State University, Zhytomyr, Ukraine
Abstract
This article is devoted to the possibility of joining of two pairs
of points of a convex domains by curves. We are interested in the
case when these curves are not farther from each other than the
distance between their end points, possibly, up to some absolute
multiplicative constant. We have obtained some
upper and lower bounds for the modulus of families of paths joining
curves mentioned above.
Publisher
Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine