Results 21 to 30 of about 148 (138)

On Inverse Hilbert-Type Inequalities [PDF]

Journal of Inequalities and Applications, 2008
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Changjian, Z, Cheung, WS
openaire   +5 more sources

An improvement of some inequalities similar to Hilbert's inequality

International Journal of Mathematics and Mathematical Sciences, 2001
We give an improvement of some inequalities similar to Hilbert's inequality involving series of nonnegative terms. The integral analogies of the main results are also given.
Young-Ho Kim
doaj   +1 more source

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
doaj   +1 more source

On the best constant in Hilbert's inequality [PDF]

Mathematical Inequalities & Applications, 2005
The main objective of this paper is a study of some new generalizations of Hilbert-type inequalities. More precisely, we obtain, in some general cases, that the constants involved in the right-hand sides of such inequalities are the best possible.
Krnić, Mario, Gao, Mingzhe, Pečarić, Josip, Gao, Xuemei   +3 more
openaire   +3 more sources

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
doaj   +1 more source

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.
openaire   +1 more source

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, Yanping Shi, Bicheng Yang   +2 more
doaj   +1 more source

Hilbert's Type Linear Operator and Some Extensions of Hilbert's Inequality

Journal of Inequalities and Applications, 2008
The norm of a Hilbert's type linear operator T:L2(0,∞)→L2(0,∞) is given. As applications, a new generalizations of Hilbert integral inequality, and the result of series analogues are given correspondingly.
Bing He, Zhiping Wang, Yongjin Li
doaj   +1 more source

A reverse extended Hardy–Hilbert’s inequality with parameters

Journal of Inequalities and Applications, 2023
In this paper, by virtue of the symmetry principle, applying the techniques of real analysis and Euler–Maclaurin summation formula, we construct proper weight coefficients and use them to establish a reverse extended Hardy–Hilbert’s inequality with multi-
Ricai Luo, Bicheng Yang, Xingshou Huang
doaj   +1 more source

Adaptive Observer for Coupled Wave PDE and Infinite ODE With Sampled Data and Unknown Input: Application to Brain Hemodynamics Estimation

International Journal of Adaptive Control and Signal Processing, EarlyView.
This article proposes a convergent adaptive observer for a damped wave PDE and an infinite‐dimensional ODE coupled in cascade using sampled‐in‐space ODE state measurements. The proposed observer estimates the distributed states of the PDE and ODE along with unknown PDE parameters and spatial input.
Zehor Belkhatir, Sarah Mechhoud, Taous‐Meriem Laleg‐Kirati   +2 more
wiley   +1 more source