On a New Hilbert-Type Intergral Inequality with the Intergral in Whole Plane

被引:0
作者
Zheng Zeng
Zitian Xie
机构
[1] Shaoguan University,Department of Mathematics
[2] Zhaoqing University,Department of Mathematics
来源
Journal of Inequalities and Applications | / 2010卷
关键词
Weight Function; Measurable Function; Mathematical Analysis; Complex Analysis; Constant Factor;
D O I
暂无
中图分类号
学科分类号
摘要
By introducing some parameters and estimating the weight functions, we build a new Hilbert's inequality with the homogeneous kernel of 0 order and the integral in whole plane. The equivalent inequality and the reverse forms are considered. The best constant factor is calculated using Complex Analysis.
引用
收藏
相关论文
共 30 条
  • [1] Hardy GH(1925)Note on a theorem of Hilbert concerning series of positive terms Proceedings of the London Mathematical Society 23 45-46
  • [2] Xie Z(2008)A Hilbert-type integral inequality whose kernel is a homogeneous form of degree Journal of Mathematical Analysis and Applications 339 324-331
  • [3] Zeng Z(2010)A Hilbert-type integral inequality with a non-homogeneous form and a best constant factor Advances and Applications in Mathematical Science 3 61-71
  • [4] Xie Z(2010)The Hilbert-type integral inequality with the system kernel of - Kyungpook Mathematical Journal 50 297-306
  • [5] Zeng Z(2008) degree homogeneous form Journal of Jilin University 46 1085-1090
  • [6] Xie Z(2008)A new Hilbert-type integral inequality with some parameters Kyungpook Mathematical Journal 48 93-100
  • [7] Zeng Z(2007)A new Hilbert-type integral inequality with some parameters and its reverse Journal of Jilin University 45 369-373
  • [8] Yang B(2008)A new Hilbert-type inequality with the kernel of - Journal of Jilin University 46 665-669
  • [9] Xie Z(2008)-homogeneous Journal of Mathematical Analysis and Applications 343 1154-1160
  • [10] Yang B(2008)A reverse Hilbert-type inequality with some parameters Journal of Sichuan Normal University 31 281-284