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On Hilbert-Pachpatte Multiple Integral Inequalities
[cached]
Zhao Changjian
,
Chen Lian-ying
,
Cheung Wing-Sum
Journal of Inequalities and Applications
, 2010,
Abstract
: We establish some multiple integral Hilbert-Pachpatte-type inequalities. As applications, we get some inverse forms of Pachpatte's inequalities which were established in 1998.
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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.
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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}$.
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On Inverse Hilbert-Type Inequalities
Changjian Zhao
,
Cheung Wing-Sum
Journal of Inequalities and Applications
, 2008,
Abstract
: This paper deals with new inverse-type Hilbert inequalities. Our results in special cases yield some of the recent results and provide some new estimates on such types of inequalities.
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On Inverse Hilbert-Type Inequalities
[cached]
Zhao Changjian
,
Wing-Sum Cheung
Journal of Inequalities and Applications
, 2008, DOI:
10.1155/2008/693248
Abstract
: This paper deals with new inverse-type Hilbert inequalities. Our results in special cases yield some of the recent results and provide some new estimates on such types of inequalities.
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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.
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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.
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Some New Hilbert's Type Inequalities
Chang-Jian Zhao
,
Wing-Sum Cheung
Journal of Inequalities and Applications
, 2009, DOI:
10.1155/2009/851360
Abstract
: Some new inequalities similar to Hilbert's type inequality involving series of nonnegative terms are established.
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Some New Hilbert's Type Inequalities
[cached]
Zhao Chang-Jian
,
Cheung Wing-Sum
Journal of Inequalities and Applications
, 2009,
Abstract
: Some new inequalities similar to Hilbert's type inequality involving series of nonnegative terms are established.
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An improvement of some inequalities similar to Hilbert's inequality
[PDF]
Young-Ho Kim
International Journal of Mathematics and Mathematical Sciences
, 2001, DOI:
10.1155/s0161171201006937
Abstract
: We give an improvement of some inequalities similar to Hilbert's inequality involving series of nonnegative terms. The integral analogies of the main results are also given.
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