5 papers
Birkhoff-Orthogonal Takahashi-von Neumann-Jordan Type Constants in Banach Spaces
Junxiang Qi, Zhouping Yin, Qi Liu
In this paper, we introduce a new family of geometric constants CtB(X) of Birkhoff-orthogonal Takahashi-von Neumann-Jordan type for real Banach spaces. We discuss their basic prope…
S2M-Trek: From Single to Multi-Sphere Transport via Per-Frame Deep Sets on a Wheel-Legged Robot
Zong Chen, Xuebin Li, Jinpeng Xiao +5
We study the problem of scaling dynamic loco-manipulation from a single free-rolling sphere to multiple spheres transported simultaneously on the back of a wheel-legged quadruped,…
A weighted Birkhoff orthogonal James-type constant
Junxiang Qi, Zhouping Yin, Qi Liu +1
Let be a real Banach space and . Motivated by orthogonal versions of the James constant, we introduce the weighted Birkhoff orthogonal James-type constant $$J_λ^{\…
Generalized geometric constants related to Birkhoff orthogonality in Banach spaces
Junxiang Qi, Qian Li, Zhouping Yin +4
In this paper, based on Birkhoff orthogonality, we introduce two geometric constants and $\boldsymbol{D}_{\boldsy…
The skew James type constant in Banach spaces
Zhiyong Rao, Qi Liu, Qiong Wu +2
In the past, Takahashi has introduced the James type constants . Building upon this foundation, we introduce an innovative skew James type constan…