8 papers
On the equivalent Zbǎganu constant associated with isosceles orthogonality in Banach spaces
Tingting Hu, Qi Liu, Mengmeng Bao +1
This paper systematically investigates a new geometric constant associated with isosceles orthogonality in Banach spaces. By establishing the connection between this new constant a…
Skew von Neumann constant in Weak Orlicz Spaces and Weak Lebesgue Spaces
Haoyu Zhou, Qi Liu, Yuxin Wang +2
This paper defines the skew von Neumann constant in quasi-Banach spaces. Meanwhile, we obtain two constants. It presents the upper and lower bounds of two constants. Subsequently,…
On the equivalent p-th von Neumann-Jordan constant associated with isosceles orthogonality in Banach spaces
Yuxin Wang, Qi Liu, Yongmo Hu +2
In this paper, we define a new geometric constant based on isosceles orthogonality, denoted by . Through research, we find that this constant is the equivalent p-th von Neumann Jor…
The skew generalized von Neumann-Jordan type constant in Banach spaces
Yuxin Wang, Qi Liu, Yueyue Feng +2
Recently, the von Neumann-Jordan type constants C(X) has defined by Takahashi. A new skew generalized constant Cp(λ,μ,X) based on C(X) constant is given in this paper. First, we wi…
On some generalized geometric constants with two parameters in Banach spaces
Yuxin Wang, Qi Liu, Haoyu Zhou +2
In this paper, we build upon the TX constant that was introduced by Alonso and Llorens-Fuster in 2008. Through the incorporation of suitable parameters, we have successfully genera…
Some aspects of generalized Dunkl-Williams constant in Banach spaces
Haoyu Zhou, Qi Liu, Yuxin Wang
This article delves into an exploration of two innovative constants, namely DW(X,α,\b{eta}) and DWB (X,α,\b{eta}), both of which constitute extensions of the Dunkl-Williams constan…