Results 51 to 60 of about 1,148 (144)

On Durrmeyer Type λ-Bernstein Operators via (p, q)-Calculus

Journal of Function Spaces, 2020
In the present paper, Durrmeyer type λ-Bernstein operators via (p, q)-calculus are constructed, the first and second moments and central moments of these operators are estimated, a Korovkin type approximation theorem is established, and the estimates on ...
Qing-Bo Cai, Guorong Zhou
doaj   +1 more source

On Various Modes of Convergence and Notions of Exhaustiveness With Korovkin‐Type Theorems

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we introduce refined notions related to convergence and exhaustiveness for sequences of functions defined between metric spaces. These include rigid uniform alpha convergence as a strengthened variant of alpha convergence, along with uniform sequential exhaustiveness, rigid uniform exhaustiveness, Cauchy exhaustiveness, and rigid Cauchy ...
Alper Erdem, Tuncay Tunç, Smritijit Sen
wiley   +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

Generalized Weighted Statistical Convergence for Double Sequences of Fuzzy Numbers and Associated Korovkin-Type Approximation Theorem

Journal of Function Spaces, 2020
We define the notions of weighted λ,μ-statistical convergence of order γ1,γ2 and strongly weighted λ,μ-summability of γ1,γ2 for fuzzy double sequences, where ...
Abdullah Alotaibi
doaj   +1 more source

Approximation by ψ‐Baskakov‐Kantorovich Operators

Mathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13552-13562, 30 September 2025.
ABSTRACT In this paper, we introduce a new family of Baskakov‐Kantorovich operators that depend on a function ψ$$ \psi $$. We compare these new ψ$$ \psi $$‐Baskakov‐Kantorovich operators with the classical Baskakov‐Kantorovich operators to evaluate their approximation results.
Hüseyin Aktuğlu, Mustafa Kara, Erdem Baytunç   +2 more
wiley   +1 more source

APPLICATIONS OF THE FRACTIONAL DIFFERENCE OPERATOR FOR STUDYING EULER STATISTICAL CONVERGENCE OF SEQUENCES OF FUZZY REAL NUMBERS AND ASSOCIATED KOROVKIN-TYPE THEOREMS

Проблемы анализа, 2022
The present work focuses on the statistical Euler summability, Euler statistical convergence, and Euler summability of sequences of fuzzy real numbers via the generalized fractional difference operator.
Kuldip Raj, Kavita Saini, M. Mursaleen
doaj   +1 more source

Simultaneous approximation by neural network operators with applications to Voronovskaja formulas

Mathematische Nachrichten, Volume 298, Issue 3, Page 871-885, March 2025.
Abstract In this paper, we considered the problem of the simultaneous approximation of a function and its derivatives by means of the well‐known neural network (NN) operators activated by the sigmoidal function. Other than a uniform convergence theorem for the derivatives of NN operators, we also provide a quantitative estimate for the order of ...
Marco Cantarini, Danilo Costarelli
wiley   +1 more source

Fractional Korovkin Theory Based on Statistical Convergence [PDF]

, 2009
2000 Mathematics Subject Classification: 41A25, 41A36, 40G15.In this paper, we obtain some statistical Korovkin-type approximation theorems including fractional derivatives of functions.
Anastassiou, George A., Duman, Oktay
core  

On a Korovkin-type theorem for simultaneous approximation

Journal of Approximation Theory, 1990
A generalization of a Korovkin-type theorem for positive linear options acting on the Banach space \(C^ r(K)\) of real-valued \(r\)-times continuously differentiable functions on a compact interval \(K\subset\mathbb{R}\) is presented. In the main theorem the so-called almost- convexity is replaced by condition of convexity preserving of two types of ...
openaire   +2 more sources

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