A Note on Kantorovich Inequality for Hermite Matrices

被引：4
|
作者：
Liu, Zhibing [1 ,2 ]
Wang, Kanmin [2 ]
Xu, Chengfeng [2 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
[2] Jiujiang Univ, Dept Math, Jiujiang 332005, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2011年
关键词：
Real Number; Applied Mathematic; Classical Result; Error Bound; Equivalent Form;
D O I：
10.1155/2011/245767
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new Kantorovich type inequality for Hermite matrices is proposed in this paper. It holds for the invertible Hermite matrices and provides refinements of the classical results. Elementary methods suffice to prove the inequality.
引用
收藏
页数：6
相关论文
共 50 条
  • [21] An Application of Kantorovich's Inequality
    Batinetu-Giurgiu, D. M.
    Stanciu, Neculai
    FIBONACCI QUARTERLY, 2019, 57 (03): : 278 - 278
  • [22] AN INEQUALITY WHICH INCLUDES THAT OF KANTOROVICH
    RENNIE, BC
    AMERICAN MATHEMATICAL MONTHLY, 1963, 70 (09): : 982 - &
  • [23] On a new Kantorovich operator based on Hermite polynomials
    Gupta, Vijay
    Malik, Deepak
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2024, 70 (03) : 2587 - 2602
  • [24] A NOTE ON THE HERMITE-HADAMARD INEQUALITY FOR CONVEX FUNCTIONS ON THE CO-ORDINATES
    Chen, Feixiang
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2014, 8 (04): : 915 - 923
  • [25] A SHORT NOTE ON INTEGRAL INEQUALITY OF TYPE HERMITE-HADAMARD THROUGH CONVEXITY
    Iqbal, Muhammad
    Qaisar, Shahid
    Muddassar, Muhammad
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 21 (05) : 946 - 953
  • [26] New Refinement of the Operator Kantorovich Inequality
    Moradi, Hamid Reza
    Furuichi, Shigeru
    Heydarbeygi, Zahra
    MATHEMATICS, 2019, 7 (02)
  • [27] REFINED YOUNG INEQUALITY WITH KANTOROVICH CONSTANT
    Zuo, Hongliang
    Shi, Guanghua
    Fujii, Masatoshi
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2011, 5 (04): : 551 - 556
  • [28] Some remarks and a bibliography on the Kantorovich inequality
    Alpargu, G
    Styan, GPH
    MULTIDIMENSIONAL STATISTICAL ANALYSIS AND THEORY OF RANDOM MATRICES, 1996, : 1 - 13
  • [29] THE KANTOROVICH INEQUALITY UNDER INTEGRAL CONSTRAINTS
    MIGLIACCIO, L
    NANIA, L
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 181 (02) : 524 - 530
  • [30] A note on Kantorovich and Ando inequalities
    Sababheh, Mohammad
    Moradi, Hamid Reza
    Gumus, Ibrahim Halil
    Furuichi, Shigeru
    FILOMAT, 2023, 37 (13) : 4171 - 4183
12345