5 citations · 11 across the 6 of their papers we have counts for
7 papers
The extreme polygons for the self Chebyshev radius of the boundary
Evgenii V. Nikitenko, Yurii G. Nikonorov
The paper is devoted to some extremal problems for convex polygons on the Euclidean plane, related to the concept of self Chebyshev radius for the polygon boundary. We consider a g…
Extreme problems for convex curves with given relative Chebyshev radius
Vitor Balestro, Horst Martini, Yurii Nikonorov +1
The paper is devoted to some extremal problems for convex curves and polygons in the Euclidean plane referring to the relative Chebyshev radius. In particular, we determine the rel…
One property of a planar curve whose convex hull covers a given convex figure
Yu. G. Nikonorov, Yu. V. Nikonorova
In this note, we prove the following conjecture by A. Akopyan and V. Vysotsky: If the convex hull of a planar curve covers a planar convex figure , then $\operatorname{lengt…
On the geodesic diameter of surfaces with involutive isometry
Yu. G. Nikonorov
This is an English translation of the following paper, published several years ago: Nikonorov Yu.G. On the geodesic diameter of surfaces with involutive isometry (Russian), Tr. Rub…
Generalized Popoviciu's problem
Yu. G. Nikonorov, Yu. V. Nikonorova
This is an English translation of the following paper, published several years ago: Nikonorov Yu.G., Nikonorova Yu.V. Generalized Popoviciu's problem (Russian), Tr. Rubtsovsk. Ind.…
The infimum of the volumes of convex polytopes of any given facet areas is 0
N. V. Abrosimov, E. Makai, A. D. Mednykh +2
We prove the theorem mentioned in the title, for , where . The case of the simplex was known previously. Also, the case was settled, but there the in…
Negative eigenvalues of the Ricci operator of solvable metric Lie algebras
Yu. G. Nikonorov
In this paper we get a necessary and sufficient condition for the Ricci operator of a solvable metric Lie algebra to have at least two negative eigenvalues. In particular, this con…