GENERALIZED VON NEUMANN-JORDAN CONSTANT CNJ(p) (X) FOR THE REGULAR OCTAGON SPACE

被引：4
|
作者：
Yang, Changsen [1 ]
Wang, Tianyu [1 ]
机构：
[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2017年 / 20卷 / 02期
关键词：
Generalized von Neumann-Jordan constant; the regular octagon space; BANACH-SPACES; NEUMANN; JORDAN; VON CONSTANTS;
D O I：
10.7153/mia-20-32
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the exact values of the generalized von Neumann-Jordan constant C-NJ((p)) (X) for X being the regular octagon space. We give that C-NJ((P)) (X) = 1+(root 2-1)(p) is valid for p >= 2, and C-NJ((P)) (X) = 2(2-p)[1+(root 2-1)(p/p-1)](p-1) for 1 < p <= 2.
引用
收藏
页码：483 / 490
页数：8
相关论文
共 50 条
  • [1] On the generalized von Neumann-Jordan constant CNJ(p)(X)
    Changsen Yang
    Wang Tianyu
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 23 (05) : 860 - 866
  • [2] ON THE CALCULATIONS OF THE GENERALIZED VON NEUMANN-JORDAN CONSTANTS CNJ(p) (Lr(Ω , Σ , μ) AND CNJ(p) (Lr(Ω , Σ , μ))
    Amini-Harandi, A.
    Khosravani, S.
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2024, 27 (03): : 659 - 667
  • [3] GENERALIZED VON NEUMANN-JORDAN CONSTANT FOR THE BANAS-FRACZEK SPACE
    Yang, Changsen
    Li, Haiying
    COLLOQUIUM MATHEMATICUM, 2018, 154 (01) : 149 - 156
  • [4] Some aspects of generalized von Neumann-Jordan type constant
    Liu, Qi
    Din, Anwarud
    Li, Yongjin
    AIMS MATHEMATICS, 2021, 6 (06): : 6309 - 6321
  • [5] ON THE CONVEXITY OF VON NEUMANN-JORDAN CONSTANT
    Komuro, Naoto
    Mitani, Ken-Ichi
    Saito, Kichi-Suke
    Tanaka, Ryotaro
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (11) : 2263 - 2268
  • [6] THE GENERALIZED VON NEUMANN-JORDAN CONSTANT AND NORMAL STRUCTURE IN BANACH SPACES
    Wang, Xi
    Cui, Yunan
    Zhang, Chiping
    ANNALS OF FUNCTIONAL ANALYSIS, 2015, 6 (04): : 206 - 214
  • [7] On the von Neumann-Jordan constant for Banach spaces
    Kato, M
    Takahashi, Y
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (04) : 1055 - 1062
  • [8] ANOTHER VERSION OF THE VON NEUMANN-JORDAN CONSTANT
    Fetter Nathansky, Helga
    Perez Garcia, Victor
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2012, 13 (01) : 125 - 139
  • [9] The von Neumann-Jordan constant for the Lebesgue spaces
    Clarkson, JA
    ANNALS OF MATHEMATICS, 1937, 38 : 114 - 115
  • [10] On a new geometric constant related to the von Neumann-Jordan constant
    Yang, Changsen
    Wang, Fenghui
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 324 (01) : 555 - 565
12345