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An extension of a multidimensional Hilbert-type inequality [PDF]
Journal of Inequalities and Applications, 2017 In this paper, by the use of weight coefficients, the transfer formula and the technique of real analysis, a new multidimensional Hilbert-type inequality with multi-parameters and a best possible constant factor is given, which is an extension of some ...
Jianhua Zhong, Bicheng Yang
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Some Dynamic Inequalities of Hilbert’s Type [PDF]
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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A Reverse Hardy-Hilbert-Type Inequality [PDF]
Journal of Inequalities and Applications, 2007 By estimating the weight coefficient, a reverse Hardy-Hilbert-type inequality is proved. As applications, some equivalent forms and a number of particular cases are obtained.
Gaowen Xi
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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.
Sun Baoju
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A more accurate half-discrete Hardy-Hilbert-type inequality with the logarithmic function [PDF]
Journal of Inequalities and Applications, 2017 By means of the weight functions, the technique of real analysis and Hermite-Hadamard’s inequality, a more accurate half-discrete Hardy-Hilbert-type inequality related to the kernel of logarithmic function and a best possible constant factor is given ...
Aizhen Wang, Bicheng Yang
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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.
Chang-Jian Zhao, Wing-Sum Cheung
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Mathematics, 2020 In this paper we establish a new half-discrete Hilbert-type inequality involving the variable upper limit integral and partial sums. As applications, an inequality obtained from the special case of the half-discrete Hilbert-type inequality is further ...
Jianquan Liao, Shanhe Wu, Bicheng Yang
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On a relation between Hilbert’s inequality and a Hilbert-type inequality
Applied Mathematics Letters, 2008 An inequality relating Hilbert's inequality and a Hilbert-type inequality are established. The constant factor is the best possible.
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A new Hilbert-type integral inequality and the equivalent form [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 We give a new Hilbert-type integral inequality with the best constant factor by estimating the weight function. And the equivalent form is considered.
Yongjin Li, Jing Wu, Bing He
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Mathematics, 2021 In this paper, we establish a new Hardy–Hilbert-type inequality involving parameters composed of a pair of weight coefficients with their sum. Our result is a unified generalization of some Hardy–Hilbert-type inequalities presented in earlier papers ...
Bicheng Yang, Shanhe Wu, Xingshou Huang
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