Results 41 to 50 of about 7,340,674 (138)

Approximation of Multiple Stancu‐Type Bernstein Operators

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this paper, we introduce a new class of multiple Stancu‐type Bernstein operators defined via Beta function based integral modification. We study their approximation properties and establish uniform convergence by means of Korovkin′s theorem under suitable conditions on the parameter αη.
Mehmet Ali Özarslan, Bayram Çekim, Sezin Çit, Wilfredo Urbina   +3 more
wiley   +1 more source

Integral Modification of Lupaş‐Type Operators for Improved Approximation and Reduced Bias

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this paper, we introduce a generalized class of Lupaş‐type operators constructed through an integral modification of the classical formulation. Instead of using discrete point evaluations, the proposed operators are defined by means of weighted local integral averages together with a parameter‐dependent structure.
Nadiyah Hussain Alharthi, Mehmet Zeki Sarıkaya, Rubayyi T. Alqahtani, Gopi Prasad   +3 more
wiley   +1 more source

Korovkin-type Theorems via Statistical Derivatives of Deferred Nörlund Summability [PDF]

Sahand Communications in Mathematical Analysis
This paper introduces and explores the concept of statistical derivatives within the framework of deferred N\"{o}rlund summability, complemented by illustrative examples.
Suresh Chandra Mahapatra, Bidu Jena, Susanta Kumar Paikray, M. Mursaleen   +3 more
doaj   +1 more source

Approximation using Jakimovski–Leviatan operators of Durrmeyer type with 2D-Appell polynomials

Journal of Inequalities and Applications
This article delves into Jakimovski–Leviatan–Durrmeyer type operators based on 2D-Appell polynomials. The investigation initiates by exploring the Korovkin-type approximation theorem and its convergence rates, employing both the traditional modulus of ...
Manoj Kumar, Nusrat Raza, M. Mursaleen
doaj   +1 more source

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

Approximation properties of a new family of Gamma operators and their applications

Advances in Difference Equations, 2021
The present paper introduces a new modification of Gamma operators that protects polynomials in the sense of the Bohman–Korovkin theorem. In order to examine their approximation behaviours, the approximation properties of the newly introduced operators ...
Reyhan Özçelik, Emrah Evren Kara, Fuat Usta, Khursheed J. Ansari   +3 more
doaj   +1 more source

A Korovkin-type theorem for set-valued Hausdorff continuous functions

, 1989
In this paper, we give a generalization of a Korovkin-type theorem for set-valued Hausdorff continuous functions (cf.
Campiti, Michele
core   +1 more source

Approximation properties for modified $(p,q)$-Bernstein-Durrmeyer operators [PDF]

Mathematica Bohemica, 2018
We introduce modified $(p,q)$-Bernstein-Durrmeyer operators. We discuss approximation properties for these operators based on Korovkin type approximation theorem and compute the order of convergence using usual modulus of continuity.
Mohammad Mursaleen, Ahmed A. H. Alabied
doaj   +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

Korovkin type approximation theorem via AI2 -summability methods

, 2016
In this paper we consider the notion of AI2-summability for real double sequences which is an extension of the notion of AI-summability for real single sequences introduced by Savas, Das and Dutta.
Sudipta Dutta, Sevda Akdağ, Pratulananda Das, Dutta, Sudipta, Akdag, Sevda, Das, Pratulananda   +5 more
core   +1 more source