Senlin Wu

activity

20152022

most citedComplete sets need not be reduced in Minkowski spaces

8 citations · 13 across the 6 of their papers we have counts for

collaborators

6 papers

math.FA2022★ 1 cited

Banach-Mazur Distance from $ℓ_{p}^{3}$ to $ℓ_{\infty}^{3}$

Longzhen Zhang, Lingxu Meng, Senlin Wu

The maximum of the Banach-Mazur distance $d_{B M}^{M} (X, ℓ_{\infty}^{n})$ , where $X$ ranges over the set of all $n$ -dimensional real Banach spaces, is difficult to compute. In fact, it…

math.MG2021★ 4 cited

Covering functionals of convex polytopes with few vertices

Xia Li, Lingxu Meng, Senlin Wu

By using elementary yet interesting observations and refining techniques used in a recent work by Fei Xue et al., we present new upper bounds for covering functionals of convex pol…

math.MG2021

Homothetic covering of convex hulls of compact convex sets

Senlin Wu, Keke Zhang, Chan He

Let $K$ be a compact convex set and $m$ be a positive integer. The covering functional of $K$ with respect to $m$ is the smallest $λ \in [0, 1]$ such that $K$ can be covered by $m$ tr…

math.FA2021

Divide bounded sets into sets having smaller diameters

Yanlu Lian, Senlin Wu

For each positive integer $m$ and each real finite dimensional Banach space $X$ , we set $β (X, m)$ to be the infimum of $δ \in (0, 1]$ such that each set $A \subset X$ having diameter $…

math.FA2018

Uniqueness of completions and related topics

Chan He, Horst Martini, Senlin Wu

A bounded subset of a normed linear space is said to be (diametrically) complete if it cannot be enlarged without increasing the diameter. A complete super set of a bounded set $K$ …

math.MG2015★ 8 cited

Complete sets need not be reduced in Minkowski spaces

Horst Martini, Senlin Wu

It is well known that in $n$ -dimensional Euclidean space ( $n \geq 2$ ) the classes of (diametrically) complete sets and of bodies of constant width coincide. Due to this, they both f…