Results 31 to 40 of about 7,574,393 (201)

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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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

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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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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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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Some Slater's Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces [PDF]

, 2008
Some inequalities of the Slater type for convex functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given.
Dragomir, Sever S
core   +2 more sources

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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Some Jensen's Type Inequalities for Twice Differentiable Functions of Selfadjoint Operators in Hilbert Spaces [PDF]

, 2008
Some Jensen’s type inequalities for twice differentiable functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given.
Dragomir, Sever S
core   +4 more sources

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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