6 papers
Hyers-Ulam-Rassias stability of functional equations with parameters
Jing Zhang, Qi Liu, Yongmo Hu +6
This paper explores the Hyers-Ulam stability of generalized Jensen additive and quadratic functional equations in \(β\)-homogeneous \(F\)-space, showing that approximately satisfy…
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…
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…
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,…