In this paper, by introducting a weight coefficient of the form: π/sin(π/r)-1/10(2n+1)1+1/r (r＞1, n∈N0), Hardy-Hilbert's inequality is refined. As its applications, an equivalent Hard y-Hilbert's typ...In this paper, by introducting a weight coefficient of the form: π/sin(π/r)-1/10(2n+1)1+1/r (r＞1, n∈N0), Hardy-Hilbert's inequality is refined. As its applications, an equivalent Hard y-Hilbert's type inequality and its strengthened form are given, and Hardy-Li ttlewood's inequality is generalized and improved.展开更多
In this paper, by introducing three parameters a, b and λ, we give some new generalizations of Hardy-Hilbert’s integral inequality. As applications, we con-sider its equivalent form and some particular results.
In this paper, by introducing the norm ｜｜x｜｜ （x ∈ Rn）, a multiple Hardy- Hilbert＇s integral inequality with the best constant factor and it＇s equivalent form are given.
在这份报纸， Hardy-Hilbert 有参数的不可分的不平等借助于一 H (o) lder 的不平等削尖被改进，这被显示出。新不平等作为 follows:f (x) g (y)/(x+y+2 ) 被建立 dxdywhere R =(Sp (F， h )- 平方(G， h )) 2， m = min { 1/p， 1/q }...在这份报纸， Hardy-Hilbert 有参数的不可分的不平等借助于一 H (o) lder 的不平等削尖被改进，这被显示出。新不平等作为 follows:f (x) g (y)/(x+y+2 ) 被建立 dxdywhere R =(Sp (F， h )- 平方(G， h )) 2， m = min { 1/p， 1/q } 。作为申请；Hardy-Littlewood 的不平等的延期被给。展开更多
文摘In this paper, by introducting a weight coefficient of the form: π/sin(π/r)-1/10(2n+1)1+1/r (r＞1, n∈N0), Hardy-Hilbert's inequality is refined. As its applications, an equivalent Hard y-Hilbert's type inequality and its strengthened form are given, and Hardy-Li ttlewood's inequality is generalized and improved.
基金Foundation item:The NSF (0177) of Guangdong Institutions of Higher Learning,College and University
文摘In this paper, by introducing three parameters a, b and λ, we give some new generalizations of Hardy-Hilbert’s integral inequality. As applications, we con-sider its equivalent form and some particular results.
文摘In this paper, by introducing the norm ｜｜x｜｜ （x ∈ Rn）, a multiple Hardy- Hilbert＇s integral inequality with the best constant factor and it＇s equivalent form are given.
文摘在这份报纸， Hardy-Hilbert 有参数的不可分的不平等借助于一 H (o) lder 的不平等削尖被改进，这被显示出。新不平等作为 follows:f (x) g (y)/(x+y+2 ) 被建立 dxdywhere R =(Sp (F， h )- 平方(G， h )) 2， m = min { 1/p， 1/q } 。作为申请；Hardy-Littlewood 的不平等的延期被给。
