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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.
Some new refined Hardy type integral inequalities  [PDF]
Khaled Mehrez
Mathematics , 2015,
Abstract: In this paper, by using Jensen's inequality and Chebyshev integral inequality, some generalizations and new refined Hardy type integral inequalities are obtained. In addition, the corresponding reverse relation are also proved.
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 New Proof of the Sharp Hardy Inequality to the Grushin Type Operators
Grushin型算子精确Hardy不等式的一个新证明(英文)

LIU Hai-Feng,NIU Peng-Cheng,
刘海峰
,钮鹏程

中国科学院研究生院学报 , 2006,
Abstract: A generalized sharp Hardy inequality to the degenerate elliptic operators with respect to Grushin type operators is proved by ingeniously choosing test functions and calculating the maximum value of a quadratic equation.Some interesting corollaries are also listed.
A New Type of Hardy-Hilbert's Integral Inequalities
Aziz Sa?lam,Hüseyin Y?ld?r?m,Mehmet Zeki Sar?kaya
Sel?uk Journal of Applied Mathematics , 2010,
Abstract: In this paper, a new type of Hardy-Hilbert's integral inequality in which the weight function is homogeneous fuction are given. Other results are also obtained.
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.
A new quantitative two weight theorem for the Hardy-Littlewood maximal operator  [PDF]
Carlos Pérez,Ezequiel Rela
Mathematics , 2013,
Abstract: A quantitative two weight theorem for the Hardy-Littlewood maximal operator is proved improving the known ones. As a consequence a new proof of the main results in [HP] and in [HPR12] is obtained which avoids the use of the sharp quantitative reverse Holder inequality for $A_{\infty}$ proved in those papers. Our results are valid within the context of spaces of homogeneous type without imposing the non-empty annuli condition.
On a New Hilbert-Hardy-Type Integral Operator and Applications
Liu Xingdong,Yang Bicheng
Journal of Inequalities and Applications , 2010,
Abstract: By applying the way of weight functions and a Hardy's integral inequality, a Hilbert-Hardy-type integral operator is defined, and the norm of operator is obtained. As applications, a new Hilbert-Hardy-type inequality similar to Hilbert-type integral inequality is given, and two equivalent inequalities with the best constant factors as well as some particular examples are considered.
New Strengthened Carleman's Inequality and Hardy's Inequality  [cached]
Liu Haiping,Zhu Ling
Journal of Inequalities and Applications , 2007,
Abstract: In this note, new upper bounds for Carleman's inequality and Hardy's inequality are established.
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