12 papers
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…
Some inequalities and geometric constants in p-normed spaces
Zhiyao Fang, Qi Liu, Yuxin Wang +1
In this paper, we study some geometric constants in complete -normed spaces with . We introduce a new symmetric geometric constant associated with isosceles orthog…
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…
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,…
Novel constants based on the generalization of Von Neumann-Jordan constant
Yuxin Wang, Qi Liu, Qian Li +4
We introduce a new geometric constant based on a generalization of the parallelogram law, and study its properties as well as some relationships with other well-known geometric con…