On q-statistical approximation of wavelets aided Kantorovich q-Baskakov operators

M Ayman-Mursaleen, BP Lamichhane… - arXiv preprint arXiv …, 2023 - arxiv.org
The aim of this research is to examine various statistical approximation properties with
respect to Kantorovich\textit {\text {\texthtq}}-Baskakov operators using wavelets. We discuss …

Approximation with Szász-Chlodowsky operators employing general-Appell polynomials

N Raza, M Kumar, M Mursaleen - Journal of Inequalities and Applications, 2024 - Springer
This article explores a Chlodowsky-type extension of Szász operators using the general-
Appell polynomials. The convergence properties of these operators are established by …

Kantorovich Variant of the Blending Type Bernstein Operators

E Baytunç, H Gezer, H Aktuğlu - Bulletin of the Iranian Mathematical …, 2024 - Springer
In this paper, we introduce a novel class of blending-type Bernstein–Kantorovich operators.
These operators depend on three parameters: α, γ, and s. We establish results on the …

Kantorovich-Stancu type (α,λ,s) - Bernstein operators and their approximation properties

N Turhan, F Özger, M Mursaleen - Mathematical and Computer …, 2024 - Taylor & Francis
In this study, we establish a new class of Kantorovich-Stancu type α, λ, s− Bernstein
operators via an adaptation of Bézier bases which are formulated with the inclusion of the …

[HTML][HTML] Approximation by Schurer Type λ-Bernstein–Bézier Basis Function Enhanced by Shifted Knots Properties

A Alotaibi - Mathematics, 2024 - mdpi.com
In this article, a novel Schurer form of λ-Bernstein operators augmented by Bézier basis
functions is presented by utilizing the features of shifted knots. The shifted knots form of …

[HTML][HTML] Approximation by Stancu variant of λ-Bernstein shifted knots operators associated by Bézier basis function

A Alamer, M Nasiruzzaman - Journal of King Saud University-Science, 2024 - Elsevier
The current paper presents the λ-Bernstein operators through the use of newly developed
variant of Stancu-type shifted knots polynomials associated by Bézier basis functions …

Hermite polynomials linking Szász–Durrmeyer operators

M Ayman-Mursaleen, M Heshamuddin, N Rao… - Computational and …, 2024 - Springer
The aim of present article is to introduce the Szász-integral type sequences of operators in
terms of Hermite polynomials and gamma function. Further, we calculate some estimates at …

Approximation by a new kind of -Bernstein–Kantorovich operators

QB Cai - Computational and Applied Mathematics, 2024 - Springer
In this manuscript, a new family of (λ, μ)-Bernstein–Kantorovich operators are introduced. A
Kovovkin type approximation theorem is obtained, the rate of convergence and A-statistical …

Approximation properties by shifted knots type of α-Bernstein–Kantorovich–Stancu operators

M Nasiruzzaman, M Dilshad, BME Albalawi… - Journal of Inequalities …, 2024 - Springer
Through the real polynomials of the shifted knots, the α-Bernstein–Kantorovich operators are
studied in their Stancu form, and the approximation properties are obtained. We obtain some …

Invariant means and lacunary sequence spaces of order (α, β)

M Ayman-Mursaleen, M Nasiruzzaman… - Demonstratio …, 2024 - degruyter.com
In this article, we use the notion of lacunary statistical convergence of order (α, β) to
introduce new sequence spaces by lacunary sequence, invariant means defined by …