| Title: |
Relations between generalized von Neumann-Jordan and James constants for quasi-Banach spaces |
| Authors: |
Young Chel Kwun; Qaisar Mehmood; Waqas Nazeer; Absar Ul Haq; Shin Min Kang |
| Source: |
Journal of Inequalities and Applications, Vol 2016, Iss 1, Pp 1-10 (2016) |
| Publisher Information: |
SpringerOpen |
| Publication Year: |
2016 |
| Collection: |
Directory of Open Access Journals: DOAJ Articles |
| Subject Terms: |
the generalized von Neumann-Jordan constant; James constant; uniform non-squareness; quasi-normed spaces; Mathematics; QA1-939 |
| Description: |
Let C N J ( B ) $\mathcal{C}_{NJ} ( \mathcal{B} )$ and J ( B ) $J ( \mathcal{B} )$ be the generalized von Neumann-Jordan and James constants of a quasi-Banach space B $\mathcal{B}$ , respectively. In this paper we shall show the relation between C N J ( B ) $\mathcal {C}_{NJ} ( \mathcal{B} )$ , J ( B ) $J ( \mathcal{B} )$ , and the modulus of convexity. Also, we show that if B $\mathcal{B}$ is not uniform non-square then J ( B ) = C N J ( B ) = 2 $J ( \mathcal{B} )=\mathcal{C}_{NJ} ( \mathcal{B} )=2$ . Moreover, we give an equivalent formula for the generalized von Neumann-Jordan constant. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| Relation: |
http://link.springer.com/article/10.1186/s13660-016-1115-z; https://doaj.org/toc/1029-242X; https://doaj.org/article/3a13afce24ea439fa2dcbaf7cf3f3884 |
| DOI: |
10.1186/s13660-016-1115-z |
| Availability: |
https://doi.org/10.1186/s13660-016-1115-z; https://doaj.org/article/3a13afce24ea439fa2dcbaf7cf3f3884 |
| Accession Number: |
edsbas.222E856E |
| Database: |
BASE |