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On a New Generalization of Hilbert's Integral Inequality and its Applications
, 1999 This paper deals with a new generalization of Hilbert's integral inequality with a best possible constant factor involving the β function. As applications, general inequalities equivalent to Hilbert's type inequality and Hardy-Littlewood's integral ...
Yang, B, Debnath, L
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Some Dynamic Inequalities of Hilbert’s Type
Journal of Function Spaces, 2020 This paper is concerned with deriving some new dynamic Hilbert-type inequalities on time scales. The basic idea in proving the results is using some algebraic inequalities, Hölder’s inequality and Jensen’s inequality, on time scales. As a special case of
A. M. Ahmed +3 more
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On a more accurate Hilbert-type inequality in the whole plane with the general homogeneous kernel
Journal of Inequalities and Applications, 2021 By the use of the weight coefficients, the idea of introduced parameters and the technique of real analysis, a more accurate Hilbert-type inequality in the whole plane with the general homogeneous kernel is given, which is an extension of the more ...
Xingshou Huang, Bicheng Yang
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On Hilbert's Integral Inequality [PDF]
, 1998 In this paper, we generalize Hilbert's integral inequality and its equivalent form by introducing three parameterst,a, andb.Iff,g∈L2[0,∞), then[formula]where π is the best value.
Bicheng, Yang
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On Hardy–Hilbert's Integral Inequality [PDF]
, 2001 In this paper, by introducing some parameters, we give a new generalization of Hardy–Hilbert's integral inequality with a best constant factor that involves the β function.
Bicheng, Yang
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Factorization of Hilbert operators
Journal of Inequalities and Applications, 2022 In this research, we introduce some factorization for Hilbert operators of order n based on two important classes of Hausdorff operators, Cesàro and gamma.
Hadi Roopaei
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A Reverse Hardy-Hilbert’s Inequality Involving One Partial Sum as the Terms of Double Series
Journal of Function Spaces, 2022 In this paper, by constructing proper weight coefficients and utilizing the Euler-Maclaurin summation formula and the Abel partial summation formula, we establish reverse Hardy-Hilbert’s inequality involving one partial sum as the terms of double series.
Bicheng Yang, Shanhe Wu, Xingshou Huang
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On Hilbert's Inequality and Its Applications [PDF]
, 1997 In this paper, the weight coefficient of the formπ−θ(n)/2n+1(with θ(n)>0) is introduced. Improvements on Hilbert's inequality and the Hardy–Littlewood inequality are established, and these results are ...
Mingzhe, Gao
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On a reverse extended Hardy–Hilbert’s inequality
Journal of Inequalities and Applications, 2020 By the use of the weight coefficients, the idea of introducing parameters and the Euler–Maclaurin summation formula, a reverse extended Hardy–Hilbert inequality and the equivalent forms are given.
Zhenxiao Huang +2 more
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Absolute Constant in Hilbert's type Inequality [PDF]
, 2013 application/pdfWe prove here an inequality on the absolute constant in Hilbert's type inequality.論文(Article)departmental bulletin ...
中嶋, 眞澄 +3 more
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