13 papers
A Birkhoff-Orthogonal Dehghan--Rooin Type Constant in Banach Spaces
Jia Du, Tingting Hu, Wenwen Zhang +1
For a real Banach space . The Dehghan--Rooin magnitude compares the angular distance together with the skew angular distance $β[x,y]=\|x/\|y\|-y/\|x…
Skew-Parameterized Geometric Constants in Banach Spaces
Qing Du, Wenwen Zhang, Zhiyao Fang +1
Building on the family of geometric constants introduced by Amini-Harandi and Rahimi, we define a skew-parameterized family on real normed spaces by replacing the classical symmetr…
A generalization of the von Neumann-Jordan type constant in Banach spaces
Shuoyi Wan, Pingru Duan, Zhiyao Fang +2
In this paper,motivated by the pioneering work of Moslehian and Rassias, we introduce a novel generalized von Neumann-Jordan type constant in Banach spaces, a constant that notably…
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,…
How orthogonality influences geometric constants
Qi Liu, Yuxin Wang, Mengmeng Bao
In this paper, based on isosceles orthogonality, we have found equivalent definitions for four constants: proposed by Baronti in 2000 [J. Math. Anal. Appl. 252(2000), 124-…
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…
A new geometric constant to compare p-angular and skew p-angular distances
Yuxin Wang, Qi Liu, Jinyu Xia +1
The -angular distance was first introduced by Maligranda in 2006, while the skew -angular distance was first introduced by Rooin in 2018. In this paper, we shall introduce a…
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 constant…
Symmetric form geometric constant related to isosceles orthogonality in Banach spaces
Qichuan Ni, Qi Liu, Yuxin Wang +2
In this article, we introduce a novel geometric constant , which provides an equivalent definition of the von Neumann-Jordan constant from an orthogonal perspective. First,…