3 papers
math.FA2025
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…
math.FA2025
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…
math.FA2024
Some study of the approximate orthogonality connected with integral orthogonalities
Ranran Wang, Qi Liu, Jinyu Xia +1
In this paper, we investigate a novel form of approximate orthogonality that is based on integral orthogonality. Additionally, we establish the fundamental properties of this new a…