A new discrete Hilbert-type inequality involving partial sums

被引：0
|
作者：
Vandanjav Adiyasuren
Tserendorj Batbold
Laith Emil Azar
机构：
[1] National University of Mongolia,Department of Mathematics
[2] Al al-Bayt University,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2019卷
关键词：
Hilbert-type inequality; Gamma function; The best possible constant; Conjugate exponents; 26D15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we derive a new discrete Hilbert-type inequality involving partial sums. Moreover, we show that the constant on the right-hand side of this inequality is the best possible. As an application, we consider some particular settings.
引用
收藏
相关论文
共 50 条
  • [1] A new discrete Hilbert-type inequality involving partial sums
    Adiyasuren, Vandanjav
    Batbold, Tserendorj
    Azar, Laith Emil
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
  • [2] ON A MORE ACCURATE HILBERT-TYPE INEQUALITY INVOLVING THE PARTIAL SUMS
    He, Bing
    Zhong, Yaru
    Yang, Bicheng
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (04): : 1647 - 1662
  • [3] On a New Half-Discrete Hilbert-Type Inequality Involving the Variable Upper Limit Integral and Partial Sums
    Liao, Jianquan
    Wu, Shanhe
    Yang, Bicheng
    MATHEMATICS, 2020, 8 (02)
  • [4] An Extended Hilbert-Type Inequality with Two Internal Variables Involving One Partial Sums
    Wang, Aizhen
    Yang, Bicheng
    AXIOMS, 2023, 12 (09)
  • [5] ON A NEW HALF-DISCRETE HILBERT-TYPE INEQUALITY WITH THE MULTIPLE UPPER LIMIT FUNCTION AND THE PARTIAL SUMS
    Wang, Aizhen
    Yong, Hong
    Yang, Bicheng
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2022, 12 (02): : 814 - 830
  • [6] A CLASS OF MORE ACCURATE HILBERT-TYPE INEQUALITIES INVOLVING PARTIAL SUMS
    Azar, Laith Emil
    Batbold, Tserendorj
    Al-Oushoush, Nizar Kh.
    Krnic, Mario
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2024, 15 (01):
  • [7] ON A NEW DISCRETE HILBERT-TYPE INEQUALITY AND ITS APPLICATIONS
    You, Minghui
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2015, 18 (04): : 1575 - 1587
  • [8] On a new extended half-discrete Hilbert's inequality involving partial sums
    Huang, Xing Shou
    Luo, Ricai
    Yang, Bicheng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [9] On a new extended half-discrete Hilbert’s inequality involving partial sums
    Xing Shou Huang
    Ricai Luo
    Bicheng Yang
    Journal of Inequalities and Applications, 2020
  • [10] A Multidimensional Discrete Hilbert-Type Inequality
    Yang, Bicheng
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2014, 5 (01): : 80 - 88
12345