Results 71 to 80 of about 6,054 (174)

An extension of the operator Kantorovich inequality

Tbilisi Mathematical Journal, 2020
Let \(A\) be a positive invertible operator on a Hilbert space \(H\) such that \(mI\le A\le MI\) where \(I\) is the identity operator on \(H\) and \(m,M\) are positive real numbers. The celebrated Kantorovich inequality asserts that \[ \langle Ax,x\rangle \langle A^{-1}x,x\rangle \le \frac{(m+M)^2}{4mM} \] for all unit vectors \(x\in H\).
Khatib, Yaser, Hassani, Mahmoud, Amyari, Maryam   +2 more
openaire   +2 more sources

On the Approximation Process of Shifted‐Knots Bivariate Stancu‐Type Kantorovich Operators

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper focuses on defining bivariate Stancu‐type Kantorovich operators with the technique associated with the idea of shifted knots. The degree of approximation and weighted approximation of these bivariate operators are estimated, respectively, by means of Lipschitz kind bivariate functions and weighted functions of two variables. Furthermore, the
Abdullah Alotaibi, Ding-Xuan Zhou
wiley   +1 more source

Improved Young and Heinz inequalities with the Kantorovich constant

, 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 ...
Liao, Wenshi, Wu, Junliang
core  

Analytic and Statistical Convergence Properties in Multiplicative Metric Spaces: A Logarithmic Perspective

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we revisit the structure of multiplicative metric spaces and investigate analytic notions such as convergence, Cauchy sequences, boundedness, and density within this framework. We extend these concepts to their statistical counterparts, including statistical convergence, statistical Cauchy sequences, statistical boundedness, and ...
Listán García María C, Ömer Kişi, Mehmet Gürdal, Selim Çetin, Pramita Mishra   +4 more
wiley   +1 more source

Interpolation for neural-network operators activated with a generalized logistic-type function

Journal of Inequalities and Applications
This paper defines a family of neural-network interpolation operators. The first derivative of generalized logistic-type functions is considered as a density function.
Hande Uyan, Abdullah Ozan Aslan, Seda Karateke, İbrahim Büyükyazıcı   +3 more
doaj   +1 more source

Convergence by Class of Kantorovich-Type q-Szász Operators and Comprehensive Results

Mathematics
In this paper, we primarily use Stancu variants of Kantorovich-type operators to investigate the convergence and other associated properties of new Szász–Mirakjan operators.
Md. Nasiruzzaman, Mohammad Farid, Nadeem Rao   +2 more
doaj   +1 more source

Operator versions of the Kantorovich inequality [PDF]

Proceedings of the American Mathematical Society, 1996
The Operator Kantorovich Inequality \[ ( R 2 − r 2 ) u ∗ ( a ∗ a ) u ≤ R 2 ( u ∗
openaire   +1 more source

Spaces of $u\tau$-Dunford-Pettis and $u\tau$-Compact Operators on Locally Solid Vector Lattices

, 2018
Suppose $X$ is a locally solid vector lattice. It is known that there are several non-equivalent spaces of bounded operators on $X$. In this paper, we consider some situations under which these classes of bounded operators form locally solid vector ...
Gezer, Niyazi Anil, Ozcan, Nazife Erkursun, Zabeti, Omid   +2 more
core  

Asymptotic Dynamics of Generalized Kantorovich Operators

Results in Mathematics
Abstract We characterize the family of continuous functions $$f\in C([0,1])$$ f ∈ C ( [ 0 , 1 ]
Krzysztof Bartoszek, Wojciech Bartoszek
openaire   +4 more sources

On Kantorovich Modification of (p, q)-Bernstein Operators

Iranian Journal of Science and Technology, Transactions A: Science, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tuncer Acar, Ali Aral, S. A. Mohiuddine
openaire   +3 more sources