Results 11 to 20 of about 2,631,048 (149)

Two reverse inequalities associated with Tsallis relative operator entropy via generalized Kantorovich constant and their applications

Linear Algebra and its Applications, 2005
Let \(A\) and \(B\) be two strictly positive Hilbert space operators and let \(0< p\leq 1\). Recently, \textit{S.~Furuichi}, \textit{K.~Yanagi} and \textit{K.~Kuriyama} [J.\ Math.\ Phys.\ 45, No.~12, 4868--4877 (2004; Zbl 1064.82001); Linear Algebra Appl.\ 394, 109--118 (2005; Zbl 1059.47018); Linear Algebra Appl.\ 407, 19--31 (2005; Zbl 1071.47021 ...
Takayuki Furuta
semanticscholar   +3 more sources

Sharp improvements to the Young inequality with the Kantorovich constant and applications

Mathematical Inequalities & Applications
Tran Dinh Phung, Duong Quoc Huy
semanticscholar   +3 more sources

Improved Young and Heinz inequalities with the Kantorovich constant [PDF]

Journal of Mathematical Inequalities, 2016
In this article, we study the further refinements and reverses of the Young and Heinz inequalities with the Kantorovich constant. These modified inequalities are used to establish corresponding operator inequalities on Hilbert space and Hilbert-Schmidt norm inequalities.
Wenshi Liao, Junliang Wu
openalex   +3 more sources

Further refinement of Young’s type inequalities and its reversed using the Kantorovich constants

Filomat, 2023
In this paper, we show a multiple-term refinement of Young?s type inequality and its reverse via the Kantorovich constants, which extends and unifies two recent and important results due to L. Nasiri et al. (Result. Math (74), 2019), and C. Yang et al. (Journal. Math. Inequalities, (14), 2020).
Mohamed Amine Ighachane, Mohamed Akkouchi   +1 more
openalex   +3 more sources

Improved Young and Heinz inequalities with the Kantorovich constant [PDF]

, 2015
In this article, we study the further refinements and reverses of the Young and Heinz inequalities with the Kantorovich constant. These modified inequalities are used to establish corresponding operator inequalities on Hilbert space and Hilbert-Schmidt ...
Wenshi Liao, Junliang Wu
openalex   +3 more sources

Inverse Result of Approximation for the Max-Product Neural Network Operators of the Kantorovich Type and Their Saturation Order

Mathematics, 2021
In this paper, we consider the max-product neural network operators of the Kantorovich type based on certain linear combinations of sigmoidal and ReLU activation functions. In general, it is well-known that max-product type operators have applications in
Marco Cantarini, Lucian Coroianu, Danilo Costarelli, Sorin G. Gal, Gianluca Vinti   +4 more
doaj   +2 more sources

Improvements of some operator inequalities involving positive linear maps via the Kantorovich constant [PDF]

, 2018
We present some operator inequalities for positive linear maps that generalize and improve the derived results in some recent years. For instant, if $A$ and $B$ are positive operators and $m,m^{'},M,M^{'}$ are positive real numbers satisfying either one of the condition ...
Leila Nasiri, Mojtaba Bakherad
openalex   +3 more sources

Enhanced Young-type inequalities utilizing Kantorovich approach for semidefinite matrices

Open Mathematics
This article introduces new Young-type inequalities, leveraging the Kantorovich constant, by refining the original inequality. In addition, we present a range of norm-based inequalities applicable to positive semidefinite matrices, such as the Hilbert ...
Bani-Ahmad Feras, Rashid Mohammad Hussein Mohammad   +1 more
doaj   +2 more sources

Kantorovich's type theorems for systems of equations with constant rank derivatives

Journal of Computational and Applied Mathematics, 2008
The authors study the Gauss-Newton method for solving a nonlinear systems \(F(x)=0\), where \(F\) is a singular mapping from \(\mathbb{R}^n\) into \(\mathbb{R}^m\). Employing a center Lipschitz continuity condition, a convergence result of Kantorovich-type is shown. Examples are given for quadratic \(F\) with \(n=m=2\).
Hu, Nuchun, Shen, Weiping, Li, Chong
openaire   +3 more sources

A Generalized Equilibrium Transform with Application to Error Bounds in the Rényi Theorem with No Support Constraints

Mathematics, 2020
We introduce a generalized stationary renewal distribution (also called the equilibrium transform) for arbitrary distributions with finite nonzero first moment and study its properties.
Irina Shevtsova, Mikhail Tselishchev
doaj   +1 more source