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A reverse Hilbert-type inequality with a generalized homogeneous kernel  [cached]
Bing He
Tamkang Journal of Mathematics , 2011, DOI: 10.5556/j.tkjm.42.2011.1-7
Abstract: Inthispaper,by introducing a generalized homogeneous kernel and estimating the weight function,a new reverse Hilbert-type integral inequality with some parameters and a best constant factor is established.Furthermore, the corresponding equivalent form is considered.
Extension of Reverse Hilbert-Type Inequality with a Generalized Homogeneous Kernel
TSERENDORJ,BATBOLD; VANDANJAV,ADIYASUREN; CASTILLO,RENé ERLIN;
Revista Colombiana de Matemáticas , 2011,
Abstract: in this paper, by introducing some parameters we establish a new extension of the reverse of hilbert-type integral inequality with best constant. we also, consider the equivalent inequality.
Some new Inequalities of Hardy-Hilbert Type with general kernel  [PDF]
Guang-Sheng Chen
Mathematics , 2011,
Abstract: In this paper, by using hardy inequality, we establish some new integral inequalities of Hardy-Hilbert type with general kernel. As applications, equivalent forms and some particular results are built; the corresponding to the double series inequalities are given.reverse forms are considered also.
A Hilbert-Type Integral Inequality in the Whole Plane with the Homogeneous Kernel of Degree 2
Xin Dongmei,Yang Bicheng
Journal of Inequalities and Applications , 2011,
Abstract: By applying the way of real and complex analysis and estimating the weight functions, we build a new Hilbert-type integral inequality in the whole plane with the homogeneous kernel of degree 2 involving some parameters and the best constant factor. We also consider its reverse. The equivalent forms and some particular cases are obtained.
On a New Hilbert-Type Intergral Inequality with the Intergral in Whole Plane
Zeng Zheng,Xie Zitian
Journal of Inequalities and Applications , 2010,
Abstract: 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.
On a Multiple Hilbert-Type Integral Inequality with the Symmetric Kernel
Wuyi Zhong,Bicheng Yang
Journal of Inequalities and Applications , 2007, DOI: 10.1155/2007/27962
Abstract: We build a multiple Hilbert-type integral inequality with the symmetric kernel K(x,y) and involving an integral operator T. For this objective, we introduce a norm ¢ ¥x ¢ ¥ ±n ¢ € ‰ ¢ € ‰(x ¢ ¢ +n), two pairs of conjugate exponents (p,q) and (r,s), and two parameters. As applications, the equivalent form, the reverse forms, and some particular inequalities are given. We also prove that the constant factors in the new inequalities are all the best possible.
On a Multiple Hilbert-Type Integral Inequality with the Symmetric Kernel  [cached]
Zhong Wuyi,Yang Bicheng
Journal of Inequalities and Applications , 2007,
Abstract: We build a multiple Hilbert-type integral inequality with the symmetric kernel and involving an integral operator . For this objective, we introduce a norm , two pairs of conjugate exponents and , and two parameters. As applications, the equivalent form, the reverse forms, and some particular inequalities are given. We also prove that the constant factors in the new inequalities are all the best possible.
A Reverse Hilbert-like Optimal Inequality  [PDF]
Omran Kouba
Mathematics , 2014,
Abstract: We prove an inequality on positive real numbers, that looks like a reverse to the well-known Hilbert inequality, and we use some unusual techniques from Fourier analysis to prove that this inequality is optimal.
A Reverse Hardy-Hilbert-Type Inequality
Gaowen Xi
Journal of Inequalities and Applications , 2007, DOI: 10.1155/2007/79758
Abstract: By estimating the weight coefficient, a reverse Hardy-Hilbert-type inequality is proved. As applications, some equivalent forms and a number of particular cases are obtained.
A Reverse Hardy-Hilbert-Type Inequality  [cached]
Xi Gaowen
Journal of Inequalities and Applications , 2007,
Abstract: By estimating the weight coefficient, a reverse Hardy-Hilbert-type inequality is proved. As applications, some equivalent forms and a number of particular cases are obtained.
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