Some aspects of generalized von Neumann-Jordan type constant

In recent times, Takahashi has introduced von Neumann-Jordan type constants $ C_{-\infty}(X) $. In the present manuscript, we establish a novel geometric constant $ C_{-\infty}(a, X) $ in a Banach space $ X $. Next, it is shown that $ \frac{1}{2}+\frac{2a}{4+a^2}\leqslant C_{-\infty}(a, X)\leqslant...

Full description

Bibliographic Details
Main Authors: Qi Liu, Anwarud Din, Yongjin Li
Format: Article
Language:English
Published: AIMS Press 2021-04-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021370?viewType=HTML