Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Upper estimates on self-perimeters of unit circles for gauges

100%

Martini H., Shcherba A.

Colloquium Mathematicum

2016

tom 142

nr 2

179-210

Let M² denote a Minkowski plane, i.e., an affine plane whose metric is a gauge induced by a compact convex figure B which, as a unit circle of M², is not necessarily centered at the origin. Hence the self-perimeter of B has two values depending on the orientation of measuring it. We prove that this self-perimeter of B is bounded from above by the four-fold self-diameter of B. In addition, we derive a related non-trivial result on Minkowski planes whose unit circles are quadrangles.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Martini H.

1 Shcherba A.

1 2016

Wyniki wyszukiwania

Upper estimates on self-perimeters of unit circles for gauges