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On new generalizations of Hilbert-Pachpatte type integral inequalities  [cached]
Lu Zhongxue
Tamkang Journal of Mathematics , 2003, DOI: 10.5556/j.tkjm.34.2003.63-70
Abstract: In this paper, some new generalizations of Hilbert-Pachpatte type inequalities are given by introducing some parameters $ r_i,iin{1,2,ldots,n}$.
on multiple Hardy-Hilbert integral inequalities with some parameters  [cached]
Yong Hong
Journal of Inequalities and Applications , 2006,
Abstract: By introducing some parameters and norm , we give multiple Hardy-Hilbert integral inequalities, and prove that their constant factors are the best possible when parameters satisfy appropriate conditions.
Some new inverse type Hilbert-Pachpatte inequalities  [cached]
Zhongxue Lu
Tamkang Journal of Mathematics , 2003, DOI: 10.5556/j.tkjm.34.2003.155-162
Abstract: In this paper, some new inverse type Hilbert-Pachpatte inequalities are given.
Inverses of new Hilbert-Pachpatte-type inequalities
Zhao Chang-Jian,Cheung Wing-Sum
Journal of Inequalities and Applications , 2006,
Abstract: We establish a new inequality of Hilbert type for a finite double number of nonnegative sequences of real numbers and some interrelated results, which are inverse and general forms of Pachpatte's and Handley's results. An integral version and some interrelated results are also obtained. These results provide some new estimates on such types of inequalities.
Multiple Unsymmetrical Core Hardy-Hilbert''s Integral Inequalities
多重的非对称核Hardy-Hilbert积分不等式

鲁圣洁,陶祥兴
数学物理学报(A辑) , 2009,
Abstract: In this paper, Hardy-Hilbert's integral inequalities are generalized. Hardy-Hilbert's integral inequality with optimal constant factor on unsymmetrical core function and weighted Hardy-Hilbert's integral inequality are obtained, and some special cases are also considered.
q? Fractional Inequalities
Anastassiou,George A;
Cubo (Temuco) , 2011, DOI: 10.4067/S0719-06462011000100005
Abstract: here we give q?fractional poincaré type, sobolev type and hilbert-pachpatte type integral inequalities, involving q?fractional derivatives of functions. we give also their generalized versions.
q Fractional Inequalities  [cached]
George A Anastassiou
Cubo : A Mathematical Journal , 2011,
Abstract: Here we give q fractional Poincaré type, Sobolev type and Hilbert-Pachpatte type integral inequalities, involving q fractional derivatives of functions. We give also their generalized versions. Estudiamos el tipo q fraccional Poincaré, el tipo Sobolev y el tipo integral de inecuaciones de Hilbert-Pachpatte, involucrando a q fraccional derivados de funciones. Damos también las versiones generalizadas.
On two new multidimensional integral inequalities of the Hilbert type  [cached]
B. G. Pachpatte
Tamkang Journal of Mathematics , 2000, DOI: 10.5556/j.tkjm.31.2000.123-130
Abstract: The main aim of this paper is to establish two new multidimensional integral inequalities similar to the integral analogue of the well known Hilbert's inequality by using elementary analysis.
On a Multiple Hilbert-Type Integral Operator and Applications
Qiliang Huang,Bicheng Yang
Journal of Inequalities and Applications , 2009, DOI: 10.1155/2009/192197
Abstract: By using the way of weight functions and the technic of real analysis, a multiple Hilbert-type integral operator with the homogeneous kernel of λ-degree (λ∈R) and its norm are considered. As for applications, two equivalent inequalities with the best constant factors, the reverses, and some particular norms are obtained.
On a Multiple Hilbert-Type Integral Operator and Applications
Huang Qiliang,Yang Bicheng
Journal of Inequalities and Applications , 2009,
Abstract: By using the way of weight functions and the technic of real analysis, a multiple Hilbert-type integral operator with the homogeneous kernel of -degree ( ) and its norm are considered. As for applications, two equivalent inequalities with the best constant factors, the reverses, and some particular norms are obtained.
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