On the constant ${C^{(p)}_{NJ}(X)}$ for the generalized Banas-Fraczek
In this paper, we study the generalized von Neumann-Jordan constant $C^{(p)}_{NJ}(X)$ for the generalized Banas-Fraczek space and improve related results on the Banas-Fraczek space. The exact value of $C^{(p)}_{NJ}(X)$ will be calculated for $X$ to be the generalized Banas-Fraczek space $\mathbb{R}^2_{a,b,p_1}$ in the case $p\geq2$ such that $p_1\geq p\geq2$ or $p\geq p_1 \geq1$.
Authors
- Changsen Yang (ORCID: https://orcid.org/0000-0002-8333-3390)
- Haiying Li (ORCID: https://orcid.org/0009-0001-5860-2982)
- Xiangrun Yang (ORCID: https://orcid.org/0009-0009-1191-0580)
Institutions
- Henan Normal University (CN)
Publication Details
- Journal
- Hacettepe Journal of Mathematics and Statistics
- Published
- 2025-04-11
- DOI
- https://doi.org/10.15672/hujms.1378317
- Primary Topic
- Advanced Banach Space Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China