On New Moduli Related to the Generalization of the Parallelogram Law
On New Moduli Related to the Generalization of the Parallelogram Law
复制标题
DOI：
10.1007/s40840-021-01196-7
复制
发表时间：
2021-09
影响因子：
1.2
通讯作者：
Qi Liu;Chuanjiang Zhou;Muhammad Sarfraz;Yongjin Li
中科院分区：
文献类型：
--
作者：
Qi Liu;Chuanjiang Zhou;Muhammad Sarfraz;Yongjin Li
We shall introduce a new geometric constantbased on a generalization of the parallelogram law, which was proposed by Moslehian and Rassias. We first discuss some basic properties of this new coefficient. Next, it is shown that, for a Banach space,becomes 1 if and only if the norm is induced by an inner product. Moreover, some sufficient conditions which imply normal structure are presented. Finally, we describe some relations between the well-known geometric constants andthrough some inequalities.
