Results 11 to 20 of about 467,935 (128)
Hilbert's Type Linear Operator and Some Extensions of Hilbert's Inequality [PDF]
Journal of Inequalities and Applications, 2008 The norm of a Hilbert's type linear operator T:L2(0,∞)→L2(0,∞) is given. As applications, a new generalizations of Hilbert integral inequality, and the result of series analogues are given correspondingly.
Bing He, Zhiping Wang, Yongjin Li
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An improvement of some inequalities similar to Hilbert's inequality
International Journal of Mathematics and Mathematical Sciences, 2001 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.
Young-Ho Kim
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On Further Analogs of Hilbert's Inequality [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 By introducing the function |lnx−lny|/(x+y+|x−y|), we establish new inequalities similar to Hilbert's type inequality for integrals. As applications, we give its equivalent form as well.
Yongjin Li, You Qian, Bing He
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Some remarks on Hilbert's integral inequality [PDF]
Journal of Numerical Analysis and Approximation Theory, 2005 A generalization of the well-known Hilbert's inequality is given. Several other results of this type obtained in recent years follow as a special case of our result.
Lj. Marangunić, J. Pečarić
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An Extension of the Hilbert's Integral Inequality
Journal of Inequalities and Applications, 2009 It is shown that an extension of the Hilbert's integral inequality can be established by introducing two parameters and . The constant factors expressed by the Euler number and as well as by the Bernoulli number and , respectively, are proved to ...
Yu Zhou, Xuemei Gao, Mingzhe Gao
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On further strengthened Hardy-Hilbert's inequality [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 We obtain an inequality for the weight coefficient ω(q,n) (q>1, 1/q+1/q=1, n∈ℕ) in the form ω(q,n)=:∑m=1∞(1/(m+n))(n/m)1 ...
Lü Zhongxue
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A Framework for Proving Hilbert's Double Integral Inequality and Related Results [PDF]
, 1999 The classical Hilbert and Hardy integral inequalities are derived within a functional analytic framework.
Peachey, Tom C
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Some New Hilbert's Type Inequalities
Journal of Inequalities and Applications, 2009 Some new inequalities similar to Hilbert's type inequality involving series of nonnegative terms are established.
Cheung Wing-Sum, Zhao Chang-Jian
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Generalization of Hardy-Hilbert's Inequality and Applications [PDF]
, 2010 In this paper, by introducing some parameters we establish an extension of Hardy-Hilbert's integral inequality and the corresponding inequality for series.
Yildirim, Huseyin +2 more
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Extension of Hilbert's inequality [PDF]
, 2006 In this paper we make some further extensions of discrete Hilbert's inequality by using Euler–Maclaurin summation formula. We give the improvements of some previously obtained results and also compare our results with some previously known from the ...
Pečarić, Josip +3 more
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