Results 21 to 30 of about 1,289 (98)
A Hilbert’s type inequality with two parameters
Filomat, 2018 In this paper, by introducing a parameter ? and ?, using the Euler-Maclaurin expansion for the Riemann zeta function, we establish an inequality of a weight coefficient. Using this inequality, we derive generalizations of a Hilbert?s type inequality.
Zhang, Zhengping, Xi, Gaowen
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On a Generalization of Hilbert‐Type Integral Inequality [PDF]
International Journal of Mathematics and Mathematical Sciences, 2008 By introducing some parameters, we establish generalizations of the Hilbert‐type inequality. As applications, the reverse and its equivalent form are considered.
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Note on Hilbert-type inequalities
Turkish Journal of Mathematics, 2012 The main objective of this paper is to prove Hlbert-type and Hardy-Hilbert-type inequalities with a general homogeneous kernel, thus generalizing a result obtained in [Namita Das and Srinibas Sahoo, A generalization of multiple Hardy-Hilbert's integral inequality, Journal of Mathematical Inequalities, 3(1), (2009), 139-154.]
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On some new Hilbert-type inequalities
Mathematica Slovaca, 2011 Abstract In the present paper we establish some new inequalities similar to extensions of Hilbert’s double-series inequality and give also their integral analogues. Our results provide some new estimates to these types of inequalities.
Cheung, WS, ChangJian, Z, LianYing, C
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On some Hilbert's type inequalities
Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, 2009 A generalization of the well-known Hilbert’s inequality is given. Several other results of this type in recent years follows as a special case of our result.
Marangunić, Ljubo, Pečarić, Josip
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A Hilbert’s type inequality with three parameters
Filomat, 2019 In this paper, by introducing three parameters A,B,? and using the Euler-Maclaurin expansion for the Riemann zeta function, we establish an inequality of a weight coefficient. Using this inequality, we derive generalizations of a Hilbert?s type inequality.
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An extension of a multidimensional Hilbert-type inequality. [PDF]
J Inequal Appl, 2017 Zhong J, Yang B.
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A more accurate half-discrete Hardy-Hilbert-type inequality with the logarithmic function. [PDF]
J Inequal Appl, 2017 Wang A, Yang B.
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On a more accurate half-discrete Hardy-Hilbert-type inequality related to the kernel of arc tangent function. [PDF]
Springerplus, 2016 Chen Q, Yang B.
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