A New Reverse Extended Hardy-Hilbert's Inequality with Two Partial Sums and Parameters

被引:1
|
作者
Liao, Jianquan [1 ]
Yang, Bicheng [1 ]
机构
[1] Guangdong Univ Educ, Sch Math, Guangzhou 510303, Peoples R China
基金
中国国家自然科学基金;
关键词
constant factor; mid-value theorem; Bernoulli function; parameter; reverse;
D O I
10.3390/axioms12070678
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
By using the methods of real analysis and the mid-value theorem, we introduce some lemmas and obtain a new reverse extended Hardy-Hilbert's inequality with two partial sums and multi-parameters. We also give a few equivalent conditions of the best possible constant factor related to several parameters in the new inequality. Some particular inequalities are deduced.
引用
收藏
页数:12
相关论文
共 50 条
  • [1] A reverse extended Hardy-Hilbert's inequality with parameters
    Luo, Ricai
    Yang, Bicheng
    Huang, Xingshou
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
  • [2] ON A MORE ACCURATE REVERSE HARDY-HILBERT'S INEQUALITY WITH TWO PARTIAL SUMS
    Wang, Aizhen
    Yang, Bicheng
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2024, 18 (01): : 235 - 251
  • [3] On a New Extended Hardy-Hilbert's Inequality with Parameters
    Yang, Bicheng
    Wu, Shanhe
    Liao, Jianquan
    MATHEMATICS, 2020, 8 (01)
  • [4] On a reverse extended Hardy-Hilbert's inequality
    Huang, Zhenxiao
    Shi, Yanping
    Yang, Bicheng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [5] AN EXTENDED HARDY-HILBERT'S INEQUALITY WITH PARAMETERS AND APPLICATIONS
    Gu, Zhaohui
    Yang, Bicheng
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (04): : 1375 - 1389
  • [6] On a Reverse Hardy-Hilbert's Inequality
    Yang, Bicheng
    KYUNGPOOK MATHEMATICAL JOURNAL, 2007, 47 (03): : 411 - 423
  • [7] An extended reverse Hardy-Hilbert's inequality in the whole plane
    Chen, Qiang
    Yang, Bicheng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [8] On the extended Hardy-Hilbert's inequality
    Yang, BC
    Debnath, L
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 272 (01) : 187 - 199
  • [9] A Reverse Hardy-Hilbert's Inequality Containing Multiple Parameters and One Partial Sum
    Yang, Bicheng
    Wu, Shanhe
    Huang, Xingshou
    MATHEMATICS, 2022, 10 (13)
  • [10] A MORE ACCURATE EXTENDED HARDY-HILBERT'S INEQUALITY WITH PARAMETERS
    Chen, Qiang
    Hong, Yong
    Yang, Bicheng
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2022, 16 (03): : 1075 - 1076