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 ZbÇganu 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…
How orthogonality influences geometric constants
Yuxin Wang, Qi Liu, 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-…
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…
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,…