Results 31 to 40 of about 7,255,580 (206)

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
doaj   +1 more source

On reverse Hilbert-type inequalities [PDF]

Journal of Inequalities and Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Biao, Wang, Xu-Huan, Wei, Wei, Wang, Haoxiang   +3 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
doaj   +1 more source

Reverse Hilbert type inequalities [PDF]

Journal of Mathematical Inequalities, 2019
Summary: In this paper, some reverse Hilbert-Pachpatte's type inequalities involving series of nonnegative terms are established, which provide new estimates on inequality of this type.
Zhao, Chang-Jian, Cheung, Wing-Sum
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Some New Grüss' Type Inequalities for Functions of Selfadjoint Operators in Hilbert Spaces [PDF]

, 2008
Some new inequalities of Grüss’ type for functions of selfadjoint operators in Hilbert spaces, under suitable assumptions for the involved operators, are given.
Dragomir, Sever S
core   +5 more sources

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
doaj   +1 more source

Potential Inequality with Hilbert Type Kernels

Annals of the Alexandru Ioan Cuza University - Mathematics, 2014
Abstract We generalize to the n-dimensional case the set of sufficient conditions on the kernel under which the maximum principle and the potential inequality hold, given by Rao and Šikić in the 1-dimensional case. These conditions are satisfied for Hilbert-type kernels and we are able to construct new families of exponentially convex functions.
Elezović, Neven, Pečarić, Josip, Praljak, Marjan   +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 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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