Sebastian Scholtes

most citedFor which positive

p

is the integral Menger curvature

M_{p}

finite for all simple polygons?

6 citations · 8 across the 3 of their papers we have counts for

collaborators

3 papers

math.GM2015★ 2 cited

Comparing maximal mean values on different scales

Thomas Havenith, Sebastian Scholtes

When computing the average speed of a car over different time periods from given GPS data, it is conventional wisdom that the maximal average speed over all time intervals of fixed…

math.CA2012★ 6 cited

For which positive $p$ is the integral Menger curvature $M_{p}$ finite for all simple polygons?

Sebastian Scholtes

In this brief note we show that the integral Menger curvature $M_{p}$ is finite for all simple polygons if and only if $p \in (0, 3)$ . For the intermediate energies $\mathc…

math.FA2012

A characterisation of inner product spaces by the maximal circumradius of spheres

Sebastian Scholtes

We give a new characterisation of inner product spaces amongst normed vector spaces in terms of the maximal cirumradius of spheres. It turns out that a normed vector space $(X,\nor…

Comparing maximal mean values on different scales

For which positive p is the integral Menger curvature Mp​ finite for all simple polygons?

A characterisation of inner product spaces by the maximal circumradius of spheres

For which positive $p$ is the integral Menger curvature $M_{p}$ finite for all simple polygons?