On Several New Hilbert-type Inequalities Involving Means Operators

被引：1
|
作者：
Vandanjav ADIYASUREN [1 ]
Tserendorj BATBOLD [2 ]
Mario KRNI [3 ]
机构：
[1] Department of Mathematical Analysis,National University of Mongolia
[2] Institute of Mathematics,National University of Mongolia
[3] Faculty of Electrical Engineering and Computing,University of
来源：
ActaMathematicaSinica | 2013年 / 29卷 / 08期
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D O I：
暂无
中图分类号：
O178 [不等式及其他];
学科分类号：
摘要：
In this paper, we establish several new Hilbert-type inequalities with a homogeneous kernel, involving arithmetic, geometric, and harmonic mean operators in both integral and discrete case. Such inequalities are derived by virtue of some recent results regarding general Hilbert-type inequalities and some well-known classical inequalities. We also prove that the constant factors appearing in established inequalities are the best possible. As an application, we consider some particular settings and compare our results with previously known from the literature.
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页码：1493 / 1514
页数：22
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