Results 51 to 60 of about 1,372 (158)

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 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 Bernstein‐Like Trigonometric Basis: Properties, Curve Design, and Operator Construction

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
We introduce a novel family of trigonometric basis functions equipped with a shape parameter, analogous to Bernstein functions. These basis functions are employed to construct Bézier‐like curves, termed “trigo‐curves”, which retain the fundamental properties of classical Bézier curves while offering enhanced shape control through parameter adjustment ...
Jamshid Saeidian, Bahareh Nouri, Aram Azizi, Saeid Abbasbandy   +3 more
wiley   +1 more source

Multivariate trigonometric Korovkin theorem within a fuzzy framework [PDF]

Mathematica Moravica
In this paper, the trigonometric fuzzy Korovkin theorem, originally established by G. A. Anastassiou and S. G. Gal (Nonlinear Functional Analysis and Applications, 11 (2006), 385-395), is extended to the k-dimensional setting. The proof is based on a new
Taş Emre, Ekici Selma
doaj   +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  

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

KOROVKIN THEOREM VIA STATISTICAL e-MODULAR CONVERGENCE OF DOUBLE SEQUENCES

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018
In the present paper, we obtain an abstract version of the Korovkin type theorem via the concept of statistical e-convergence in modular spaces for double sequences of positive linear operators.
Sevda Yıldız
doaj   +1 more source

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

Two Korovkin-type theorems in multivariate approximation

Banach Journal of Mathematical Analysis, 2008
Two Korovkin-type theorems [\textit{F. Altomare} and \textit{M. Campiti}, Korovkin-type Approximation Theory and its applications. de Gruyter Studies in Mathematics. 17. (Berlin): Walter de Gruyter. (1994; Zbl 0924.41001)] in multivariate approximation in which the limit of the sequence of operators is not necessarily the identity have been proved. One
Guessab, Allal, Schmeisser, Gerhard
openaire   +3 more sources

Asymptotic expansions for variants of the gamma and Post–Widder operators preserving 1 and xj

Mathematical Methods in the Applied Sciences, Volume 47, Issue 18, Page 13718-13733, December 2024.
Recently, the authors constructed operators acting on a space of functions defined on [0,∞)$$ \left[0,\infty \right) $$ and preserving 1 and xj$$ {x}^j $$ for a given j∈ℕ$$ j\in \mathrm{\mathbb{N}} $$. To this end, they considered suitable modifications of the Post–Widder and gamma operators.
Ulrich Abel, Ana Maria Acu, Margareta Heilmann, Ioan Rasa   +3 more
wiley   +1 more source