Results 51 to 60 of about 492,264 (157)

Approximation of Discontinuous Functions by Positive Linear Operators. A Probabilistic Approach

Mathematical Methods in the Applied Sciences, Volume 49, Issue 5, Page 4184-4197, 30 March 2026.
ABSTRACT We obtain approximation results for general positive linear operators satisfying mild conditions, when acting on discontinuous functions and absolutely continuous functions having discontinuous derivatives. The upper bounds, given in terms of a local first modulus of continuity, are best possible, in the sense that we can construct particular ...
J.A. Adell, P. Garrancho, F.J. Martínez‐Sánchez   +2 more
wiley   +1 more source

Convergence Theorems for Derivatives of a New Baskakov -Type Operators

Wasit Journal for Pure Sciences
The motive of this paper is to introduce and investigate the derivatives of some Baskakov operators. Firstly, we treated with the convergence theorems on some certain type of Baskakov operators and then we found the derivative of these operators.
Haneen Jaafar, haneen jaafar
doaj   +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

Approximation by (p, q)-Baskakov–Beta operators [PDF]

Applied Mathematics and Computation, 2017
In the present paper, we consider $(p,q)$-analogue of the Baskakov-Beta operators and using it, we estimate some direct results on approximation. Also, we represent the convergence of these operators graphically using MATLAB.
Neha Malik, Vijay Gupta 0002
openaire   +4 more sources

Wavelets‐Associated Approximation to the Family of New Class of q‐Szász Operators Via q‐Analog

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This study investigates the approximation properties of a recently developed class of q‐Szász–Mirakjan operators integrated with wavelets. By constructing these q‐Szász‐type operators and introducing their Kantorovich variants, we establish Lp‐approximation results for 1 ≤ p ≤ ∞.
Md. Nasiruzzaman, Amel Souhail, Adel Alatawi, M. Mursaleen, Bilal Bilalov   +4 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

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

Better Approximation Properties by New Modified Baskakov Operators

Journal of Applied Mathematics
This paper introduces a new idea to obtain a better order of approximation for the Baskakov operator. We conclude two new operators from orders one and two of the Baskakov type.
Ahmed F. Jabbar, Amal K. Hassan
doaj   +1 more source

On approximation properties of Baskakov–Schurer–Szász operators [PDF]

Applied Mathematics and Computation, 2016
In this paper, we are dealing with a new type of Baskakov-Schurer-Szasz operators (\ref{eq1}). Approximation properties of this operators are explored: the rate of convergence in terms of the usual moduli of smoothness is given, the convergence in certain weighted spaces is investigated. We study $q$-analogues of Baskakov-Schurer-Szász operators and it'
Vishnu Narayan Mishra, Preeti Sharma
openaire   +3 more sources

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