A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Refinement of Isoperimetric Inequality of Minkowski with the Account of Singularities in Boundaries of Intrinsic Parallel Bodies

2014
*
Journal of Mathematical Physics, Analysis, Geometry
*

The following inequalities are proved: where V (A), V (B) stand for the volumes of convex bodies A and B in R n (n ≥ 2), S(A, B) denotes the area of the surface of the body A relative to the body B, q is the capacity factor of the body B with respect to the body A, A i = A −ti (B) = A/(t i B) is the inner body parallel to the body A with respect to the body B at a distance t i , 0 = t 0 < t 1 < . . T 0 g(t)df (t) is the Riemann-Stieltjes integral of the function g(t) by the function f (t), and

doi:10.15407/mag10.03.309
fatcat:4c4wqoudcfbplgru33ltaqrdp4