Results 31 to 40 of about 819,581 (91)

Weighted deformation theorem for normal currents [PDF]

, 1992
We are concerned with the deformation theorem in the geometric mea­sure theory. We shall prove the theorem for "weighted" mass to know its essence and to apply it to some variational problem.
Takamura, Hiroyuki
core   +1 more source

Weighted Association Rule Mining using Weighted Support and Significance Framework [PDF]

, 2003
We address the issues of discovering significant binary relationships in transaction datasets in a weighted setting. Traditional model of association rule mining is adapted to handle weighted association rule mining problems where each item is allowed to
Feng Tao, Murtagh, Fionn, Mohsen Farid, Tao, Feng, Fionn Murtagh, Farid, Mohsen   +5 more
core   +2 more sources

Convergence in ψ‐Density: Fundamental Properties and Approximation Theorems for Positive Linear Operators

Journal of Mathematics, Volume 2026, Issue 1, 2026.
We define a new convergence concept called convergence in ψ‐density. Let D be the class of strictly increasing, differentiable, and unbounded functions ψ : (0, ∞)⟶(0, ∞). We say that a sequence x = {xk} is convergent in ψ‐density to L if the limit limi⟶∞1/∑k=1iψ′k∑k≤i,k∈Bψ′k=0, where B≔B(ϵ)≔{k ≤ i : |xk − L| ≥ ϵ} for every ϵ > 0. If the function ψ∈D is
Kamil Demirci, Fadime Dirik, Sevda Yıldız, Smritijit Sen   +3 more
wiley   +1 more source

Weighted Statistical Equivalence in Probability for Comparing Positive Linear Approximation Processes

Journal of Mathematics, Volume 2026, Issue 1, 2026.
We introduce the notion of asymptotically weighted statistical equivalence of order α in probability for sequences of positive linear operators and study it within a Korovkin‐type approximation framework. The emphasis is not only on the convergence of a single operator sequence to a target function, but on the asymptotic comparison of two approximation
Hong-Wei Wang, Mehmet Gürdal, Ömer Kişi, Qing-Bo Cai, Smritijit Sen   +4 more
wiley   +1 more source

A Computational Analysis of Error Bounds for Novel α‐Baskakov–Kantorovich Operators and Graphical Representation

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study introduces a novel family of hybrid Kantorovich‐type operators for the Baskakov–Schurer–Stancu class, integrated with a shape parameter α ∈ [0, 1]. We establish fundamental estimates and evaluate both the rate of convergence and the order of approximation utilizing the Korovkin theorem and the modulus of smoothness.
Md. Nasiruzzaman, Nadeem Rao, Amel Souhail, Fahad Maqbul Alamrani, M. Mursaleen, Smritijit Sen   +5 more
wiley   +1 more source

Bivariate Maximum Product–Type Favard–Szasz–Mirakyan and Meyer–König–Zeller Operators

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In the present paper, we set up the structure of the bivariate maximum product (max‐product)–type of Meyer–König and Zeller operators and Favard–Szasz–Mirakyan operators corresponding to the linear univariate counterparts. Then, we provide an error estimation for these bivariate max‐product type operators in terms of the modulus of continuity.
Sevilay Kırcı Serenbay, Ecem Acar, Smritijit Sen   +2 more
wiley   +1 more source

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

A Study on Affine Invariance in ψ‐Modified Szász‐Kantorovich Operators

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we propose and analyze a modified class of ‐ψ Szász–Mirakjan–Kantorovich operators that preserve affine functions. The proposed modified‐ψ Szász–Mirakjan–Kantorovich operators exhibit superior approximation properties compared to both the classical ψ Szász–Mirakjan–Kantorovich operators and the previously defined ‐ψ Szász–Mirakjan ...
Hüseyin Aktuğlu, Mustafa Kara, Smritijit Sen   +2 more
wiley   +1 more source

Error Estimation for Shifted q‐Szász–Kantorovich Operators and Their Numerical Properties

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper introduces a novel class of q‐Szász–Mirakjan–Kantorovich operators defined with shifted sequences. Utilizing the basic principles of q‐calculus, we design the King‐type fundamental construction of q‐Szász–Mirakjan–Kantorovich operators and derive their moments and central moments.
Md. Nasiruzzaman, Esmail Alshaban, Fahad Maqbul Alamrani, Adel Alatawi, M. Mursaleen, Smritijit Sen   +5 more
wiley   +1 more source

Bernstein's theorem on weighted Besov spaces [PDF]

, 1995
It is a well-known fact that the integrability of the Fourier transform of a function (or a distribution) is intimately related to its smoothness. The result of this type is usually called Bernstein's theorem.
Bui, Huy-Qui
core   +1 more source