Results 31 to 40 of about 93,877 (207)

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

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
doaj   +1 more source

Chebyshev type inequalities for Hilbert space operators [PDF]

, 2014
We establish several operator extensions of the Chebyshev inequality. The main version deals with the Hadamard product of Hilbert space operators.
Mohammad Sal, Mojtaba Bakherad, Moslehian   +2 more
core   +1 more source

Bohr's inequality revisited

, 2011
We survey several significant results on the Bohr inequality and presented its generalizations in some new approaches. These are some Bohr type inequalities of Hilbert space operators related to the matrix order and the Jensen inequality.
Fujii, Masatoshi, Micic, Jadranka, Moslehian, Mohammad Sal   +2 more
core   +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
openaire   +2 more sources

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
openaire   +2 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 ...
openaire   +3 more sources

Construction Conditions and Applications of a Hilbert-Type Multiple Integral Inequality Involving Multivariable Upper Limit Functions and Higher-Order Partial Derivatives

Axioms
Hilbert-type inequalities derive from the classical Hilbert inequality, and their theoretical work has key applications not only in operator theory but also in various analytic disciplines.
Yong Hong, Qian Zhao, Zhihong Zhao
doaj   +1 more source

A Hilbert Integral-Type Inequality with Parameters

International Journal of Mathematics and Mathematical Sciences, 2010
A Hilbert-type integral inequality with parameters α and (α,λ>0) can be established by introducing a nonhomogeneous kernel function. And the constant factor is proved to be the best possible. And then some important and especial results are enumerated.
Shang Xiaozhou, Gao Mingzhe
doaj   +1 more source

Performance improvement of discrete‐time linear‐quadratic regulators applied to uncertain linear systems using the Tikhonov regularization method

Asian Journal of Control, EarlyView.
Abstract The linear‐quadratic regulator (LQR) problem of optimal control of an uncertain discrete‐time linear system (DTLS) is revisited in this paper from the perspective of Tikhonov regularization. We show that an optimally chosen regularization parameter reduces, compared to the classical LQR, the values of a scalar error function, as well as the ...
Fernando Pazos, Amit Bhaya
wiley   +1 more source