Results 21 to 30 of about 1,569 (191)

Generalization of Inequalities of Hardy-Hilbert type [PDF]

Mathematical Inequalities & Applications, 2004
Generalizations of the well known Hilbert's and Hardy-Hilbert's inequality are given both in discrete and integral case.
Pečarić, Josip, Brnetić, Ilko
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A reverse Hardy–Hilbert-type integral inequality involving one derivative function

Journal of Inequalities and Applications, 2020
In this article, by using weight functions, the idea of introducing parameters, the reverse extended Hardy–Hilbert integral inequality and the techniques of real analysis, a reverse Hardy–Hilbert-type integral inequality involving one derivative function
Qian Chen, Bicheng Yang
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A Hilbert type inequality

Tamkang Journal of Mathematics, 2000
In this paper we obtain a new inequality of Hilbert type for a finite number of nonnegative sequences of real numbers from which we can recover as a special case an inequality due to Pachpatte. We also obtain an integral variant of the inequality.
Handley, G. D., Koliha, J. J., Pečarić, J.   +2 more
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Equivalent Conditions of a Hilbert-Type Multiple Integral Inequality Holding

Journal of Function Spaces, 2020
Let ∑i=1n1/pi=1pi>1, in this paper, by using the method of weight functions and technique of real analysis; it is proved that the equivalent parameter condition for the validity of multiple integral Hilbert-type inequality ∫R+nKx1,⋯,xn∏i=1nfixi dx1⋯dxn≤M∏
Jianquan Liao, Yong Hong, Bicheng Yang
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Constructive Conditions for a High-Dimensional Hilbert-Type Integral Inequality Involving Multivariate Variable Upper Limit Integral Functions and Optimal Constant Factors

Axioms
Hilbert integral inequalities are beautiful inequalities with a symmetric structure, and have attracted much attention because of their important applications in the study of integral operators, and the Hilbert-type integral inequality involving variable
Qian Zhao, Yong Hong, Bing He
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On a New Reverse Hilbert's Type Inequality

Iranian Journal of Mathematical Sciences and Informatics, 2022
Summary: In this paper, by using the Euler-Maclaurin expansion for the Riemann-\(\zeta\) function, we establish an inequality of a weight coefficient. Using this inequality, we derive a new reverse Hilbert's type inequality. As an applications, an equivalent form is obtained.
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On solving pseudomonotone equilibrium problems via two new extragradient-type methods under convex constraints

Demonstratio Mathematica, 2022
The primary objective of this study is to develop two new proximal-type algorithms for solving equilibrium problems in real Hilbert space. Both new algorithms are analogous to the well-known two-step extragradient algorithm for solving the variational ...
Khunpanuk Chainarong, Pakkaranang Nuttapol, Pholasa Nattawut   +2 more
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A New Hilbert-Type Inequality

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2006
Let \(a_n,b_n\geq 0\), \(p>1\), \(1/p+1/q=1\) and ...
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On a q-analogue of the Hilbert's type inequality

Journal of Nonlinear Sciences and Applications, 2018
Summary: In this paper, by introducing a parameter \(q\) and using the expression of the beta function establishing the inequality of the weight coefficient, we give a \(q\)-analogue of the Hilbert's type inequality. As applications, a generalization of Hardy-Hilbert's inequality are obtained.
Zhang, Zhengping, Xi, Gaowen
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A NOTE ON HILBERT TYPE INEQUALITY

Tamkang Journal of Mathematics, 1998
In the present note we establish a new Hilbert type inequality mvolving sequences of real numbers. An integral analogue of the main result is also given.
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