On a multiple Hilbert-type integral inequality involving the upper limit functions

被引：0
作者：
Zhong, Jianhua [1 ]
Yang, Bicheng [1 ]
机构：
[1] Guangdong Univ Educ, Dept Math, Guangzhou 51003, Guangdong, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2021年 / 2021卷 / 01期
关键词：
Weight function; Hilbert-type integral inequality; Upper limit function; Parameter; Gamma function;
D O I：
10.1186/s13660-021-02551-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By applying the weight functions, the idea of introducing parameters and the technique of real analysis, a new multiple Hilbert-type integral inequality involving the upper limit functions is given. The constant factor related to the gamma function is proved to be the best possible in a condition. A corollary about the case of the nonhomogeneous kernel and some particular inequalities are obtained.
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页数：9
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  • [11] [洪勇 Hong Yong], 2017, [吉林大学学报. 理学版, Journal of Jilin University. Science Edition], V55, P189
  • [12] [洪勇 Hong Yong], 2016, [数学年刊. A辑, Chinese Annals of Mathematics, Ser. A], V37, P329
  • [13] On a half-discrete Hilbert-type inequality similar to Mulholland's inequality
    Huang, Zhenxiao
    Yang, Bicheng
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [14] Extension of Hilbert's inequality
    Krnic, Mario
    Pecaric, Josip
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 324 (01) : 150 - 160
  • [15] Equivalent Conditions of a Hilbert-Type Multiple Integral Inequality Holding
    Liao, Jianquan
    Hong, Yong
    Yang, Bicheng
    [J]. JOURNAL OF FUNCTION SPACES, 2020, 2020
  • [16] Parameterized discrete Hilbert-type inequalities with intermediate variables
    Luo, Ricai
    Yang, Bicheng
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019,
  • [17] On a new Hilbert-type integral inequality involving the upper limit functions
    Mo, Hongmin
    Yang, Bicheng
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [18] ON THE REVERSE HARDY-TYPE INTEGRAL INEQUALITIES IN THE WHOLE PLANE WITH THE EXTENDED RIEMANN-ZETA FUNCTION
    Rassias, Michael Th
    Yang, Bicheng
    Raigorodskii, Andrei
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2020, 14 (02): : 525 - 546
  • [19] ON AN EQUIVALENT PROPERTY OF A REVERSE HILBERT-TYPE INTEGRAL INEQUALITY RELATED TO THE EXTENDED HURWITZ-ZETA FUNCTION
    Rassias, Michael Th.
    Yang, Bicheng
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2019, 13 (02): : 315 - 334
  • [20] A REVERSE MULHOLLAND-TYPE INEQUALITY IN THE WHOLE PLANE WITH MULTI-PARAMETERS
    Rassias, Michael Th
    Yang, Bicheng
    [J]. APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2019, 13 (01) : 290 - 308
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