Results 31 to 40 of about 87 (80)

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

Approximation by Stancu-type α-Bernstein-Schurer-Kantorovich operators

Journal of Inequalities and Applications
In the present article, we study the approximation properties of constructed operators based on the shape parameter α. We construct the Stancu-type operators of α-Bernstein–Schurer–Kantorovich operators. Here the shape parameter α ∈ [ 0 , 1 ] $\alpha \in
Md. Nasiruzzaman
doaj   +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

A Study of Szász–Durremeyer-Type Operators Involving Adjoint Bernoulli Polynomials

Mathematics
This research work introduces a connection of adjoint Bernoulli’s polynomials and a gamma function as a sequence of linear positive operators. Further, the convergence properties of these sequences of operators are investigated in various functional ...
Nadeem Rao, Mohammad Farid, Rehan Ali
doaj   +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

Dunkl generalization of Phillips operators and approximation in weighted spaces

Advances in Difference Equations, 2020
The purpose of this article is to introduce a modification of Phillips operators on the interval [ 1 2 , ∞ ) $[ \frac{1}{2},\infty ) $ via a Dunkl generalization. We further define the Stancu type generalization of these operators as S n , υ ∗ ( f ; x ) =
M. Mursaleen, Md. Nasiruzzaman, A. Kılıçman, S. H. Sapar   +3 more
doaj   +1 more source

Multiple Binomial‐Type Operators and Their Approximation Properties

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we introduce multiple binomial‐type operators (multiple Bernstein–Sheffer operators) and investigate their approximation properties. These properties are analyzed by means of a Korovkin‐type theorem. Furthermore, by using the first and second modulus of continuity together with Peetre’s κ‐functional, we establish the rate of convergence ...
Mehmet Ali Özarslan, Bayram Çekim, Sezin Çit, Smritijit Sen   +3 more
wiley   +1 more source

Metaplectic operators with quasi‐diagonal kernels

Mathematische Nachrichten, Volume 298, Issue 12, Page 3618-3638, December 2025.
Abstract Metaplectic operators form a relevant class of operators appearing in different applications, in this work we study their Schwartz kernels. Namely, diagonality of a kernel is defined by imposing rapid off‐diagonal decay conditions, and quasi‐diagonality by imposing the same conditions on the smoothing of the kernel through convolution with the
Gianluca Giacchi, Luigi Rodino
wiley   +1 more source

ψ‐Bernstein–Kantorovich operators

Mathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 1124-1141, 15 January 2025.
In this article, we introduce a modified class of Bernstein–Kantorovich operators depending on an integrable function ψα$$ {\psi}_{\alpha } $$ and investigate their approximation properties. By choosing an appropriate function ψα$$ {\psi}_{\alpha } $$, the order of approximation of our operators to a function f$$ f $$ is at least as good as the ...
Hüseyin Aktuğlu, Mustafa Kara, Erdem Baytunç   +2 more
wiley   +1 more source

Approximation Properties of a New Class of Beta‐Type Szász–Mirakjan Operators

Journal of Mathematics, Volume 2025, Issue 1, 2025.
We use the new variant of Szász–Mirakjan operators to construct a generalized version of Szász‐beta type operators and obtain auxiliary lemmas. We present the weighted approximation theorems and, by using Peetre’s K‐function, the local approximation results of these operators are studied.
Md. Nasiruzzaman, Rubayyi T. Alqahtani, S. A. Mohiuddine, Ding-Xuan Zhou   +3 more
wiley   +1 more source