A Hilbert-type integral inequality in the whole plane related to the kernel of exponent function

被引：0
作者：
Yanru Zhong
Meifa Huang
Bicheng Yang
机构：
[1] Guilin University of Electronic Technology,School of Computer Science and Information Security
[2] Guilin University of Electronic Technology,School of Mechanical Science and Electrical Engineering
[3] Guangdong University of Education,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2018卷
关键词：
Hilbert-type integral inequality; Weight function; Intermediate variable; Equivalent statement; Operator; Gamma function; 26D15; 31A10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
By using real analysis and weight functions, we obtain a few equivalent statements of a Hilbert-type integral inequality in the whole plane related to the kernel of exponent function with intermediate variables. The constant factor related to the gamma function is proved to be the best possible. We also consider some particular cases and the operator expressions.
引用
收藏
相关论文
共 50 条
  • [1] A Hilbert-type integral inequality in the whole plane related to the kernel of exponent function
    Zhong, Yanru
    Huang, Meifa
    Yang, Bicheng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [2] A Hilbert-Type Integral Inequality in the Whole Plane Related to the Arc Tangent Function
    Rassias, Michael Th
    Yang, Bicheng
    Raigorodskii, Andrei
    SYMMETRY-BASEL, 2021, 13 (02): : 1 - 16
  • [3] A HILBERT-TYPE INTEGRAL INEQUALITY IN THE WHOLE PLANE WITH THE HOMOGENEOUS KERNEL
    Wang, Aizhen
    Yang, Bicheng
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2013, 7 (02): : 289 - 298
  • [4] A Hilbert-type integral inequality in the whole plane related to the hypergeometric function and the beta function
    Rassias, Michael Th.
    Yang, Bicheng
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 428 (02) : 1286 - 1308
  • [5] On a Hilbert-Type Integral Inequality in the Whole Plane Related to the Extended Riemann Zeta Function
    Rassias, Michael Th
    Yang, Bicheng
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2019, 13 (04) : 1765 - 1782
  • [6] On a Hilbert-Type Integral Inequality Related to the Extended Hurwitz Zeta Function in the Whole Plane
    Michael Th. Rassias
    Bicheng Yang
    Acta Applicandae Mathematicae, 2019, 160 : 67 - 80
  • [7] On a Hilbert-Type Integral Inequality in the Whole Plane Related to the Extended Riemann Zeta Function
    Michael Th. Rassias
    Bicheng Yang
    Complex Analysis and Operator Theory, 2019, 13 : 1765 - 1782
  • [8] On a Hilbert-Type Integral Inequality Related to the Extended Hurwitz Zeta Function in the Whole Plane
    Rassias, Michael Th.
    Yang, Bicheng
    ACTA APPLICANDAE MATHEMATICAE, 2019, 160 (01) : 67 - 80
  • [9] On a Hilbert-type integral inequality in the whole plane with the equivalent forms
    Yang, B. C.
    Andrica, D.
    Bagdasar, O.
    Rassias, M. Th.
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2023, 117 (02)
  • [10] A New Hilbert-type Inequality with the Integral in Whole Plane
    Xie, Zitian
    Zeng, Zheng
    KYUNGPOOK MATHEMATICAL JOURNAL, 2012, 52 (03): : 291 - 298
12345