Results 71 to 80 of about 5,758 (179)

Kantorovich type operator inequalities via the Specht ratio

Linear Algebra and its Applications, 2004
The generalized Specht ratio is defined for every \(r\in \mathbb{R}\), \(k> 0\), as \[ S_k(r)= {(k^r- 1)k^{{r\over k^r-1}}\over re\log k}\text{ when }k\neq 1\text{ and }S_1(r)= 1. \] This ratio has been used by some authors in the theory of Hilbert space operator inequalities. For example, \textit{J. I. Fujii}, \textit{T. Furuta}, \textit{T.
Fujii, Jun Ichi, Seo, Yuki, Tominaga, Masaru   +2 more
openaire   +1 more source

On the Reducibility of Weighted Composition Operators Generated by Periodic Transformations

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In this article, we study the reducibility of weighted composition operators (also known as weighted displacement operators) acting on Banach spaces of continuous functions on a compact topological space X. We consider operators of the form Bu(x) = a(x)u(α(x)), where α : X⟶X is a continuous mapping and a is a continuous function.
Teube Cyrille Mbainaissem, Dethie Dione, Abdoulaye Ali Ibrahima, Shikha Binwal   +3 more
wiley   +1 more source

A characterization of operator order via grand Furuta

Journal of Inequalities and Applications, 2001
As an application of the grand Furuta inequality, we shall show a characterization of usual order associated with operator equation and a Kantorovich type order preserving operator inequality by using essentially the same idea of [9].
seo Yuki
doaj  

On approximation properties of generalized Kantorovich-type sampling operators

2015 International Conference on Sampling Theory and Applications (SampTA), 2015
In this paper the authors generalize the notion of a Kantorovich-type sampling operator given in [\textit{C. Bardaro} et al., Sampl. Theory Signal Image Process. 6, No. 1, 29--52 (2007; Zbl 1156.41307)] by replacing the Steklov mean with its more general analogue, the Fejér-type singular integral.
Olga Orlova, Gert Tamberg
openaire   +1 more source

Weighted Korovkin‐Type Theorem and Some Properties of Szász–Mirakjan Operators Preserving Exponential Functions via Power Series Statistical Convergence

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this article, we establish a weighted Korovkin‐type approximation theorem within the framework of power series statistical convergence and provide a systematic extension of classical Korovkin theory to weighted function spaces. Furthermore, we investigate the approximation properties of the Szász–Mirakjan operators preserving exponential functions ...
Dilek Söylemez, Feras Yousef
wiley   +1 more source

An Interval‐Valued Fermatean Neutrosophic Framework for Sustainable Transportation Under Uncertainty

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Transportation planning is facing heightened complexity because the dynamic parameters influenced by globalization and unpredictable technological disruptions. Traditional models are not capable to handle interval‐based uncertainties related to supply, demand, and costs, especially as the scale of suppliers and customers expands.
Muhammad Kamran, Muhammad Nadeem, Magda Abd El-Rahman, J. Akhter, Ghous Ali   +4 more
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  

Bézier Form of Quantum λ‐Bernstein–Schurer Operators With Associated Approximation Properties

Journal of Mathematics, Volume 2026, Issue 1, 2026.
We introduce a Bézier form of Schurer‐type modification of the quantum λ‐Bernstein operators, extending the classical Schurer operators through the Bézier basis with shape parameter −1 ≤ λ ≤ 1. By applying Korovkin’s theorem, we obtain both global and local approximation results.
Jabr Aljedani, Md. Nasiruzzaman, S. A. Mohiuddine, Ding-Xuan Zhou   +3 more
wiley   +1 more source

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

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