On the constant ${C^{(p)}_{NJ}(X)}$ for the generalized Banas-Fraczek

Year 2025, Volume: 54 Issue: 6 , 2237 - 2243 , 30.12.2025

Haiying Li , Xiangrun Yang , Changsen Yang

https://doi.org/10.15672/hujms.1378317

https://izlik.org/JA78TB98NL

Abstract

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 $p\geq p_1 \geq1$.

Keywords

generalized Banas-Fr¸aczek space , Banas-Fr¸aczek space , generalized von Neumann-Jordan constant , von Neumann-Jordan constant

Project Number

11771126

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