Results 31 to 40 of about 151 (150)

Some Approximation Properties of the (p, q)–Stancu–Schurer–Bleimann–Butzer–Hahn Operators

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this article, the (p, q)–Stancu–Schurer–Bleimann–Butzer–Hahn ((p, q)‐SSBBH) operators are introduced. The Korovkin‐type theorem is obtained to show the approximation properties of these operators. Then, the rate of convergence of these operators with the help of the modulus of continuity and Lipschitz‐type maximal functions is calculated ...
Gülten Torun, Ljubisa Kocinac
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.
Duman, Oktay, Anastassiou, George A.
core  

Modifying an approximation process using non-Newtonian calculus

, 2020
In the present note we modify a linear positive Markov process of discrete type by using so called multiplicative calculus. In this framework, a convergence property and the error of approximation are established.
AGRATINI, Octavian, KARSLI, Harun
core   +1 more source

Triangular ideal relative convergence on modular spaces and Korovkin theorems

, 2023
In this paper, we introduce the concept of triangular ideal relative convergence for double sequences of functions defined on a modular space. Based upon this new convergence method, we prove Korovkin theorems. Then, we construct an example such that our
ÇINAR, Selin, YILDIZ, Sevda
core   +1 more source

On the continuity in q of the family of the limit q-Durrmeyer operators

Demonstratio Mathematica
This study deals with the one-parameter family {Dq}q∈[0,1]{\left\{{D}_{q}\right\}}_{q\in \left[0,1]} of Bernstein-type operators introduced by Gupta and called the limit qq-Durrmeyer operators.
Yılmaz Övgü Gürel, Ostrovska Sofiya, Turan Mehmet   +2 more
doaj   +1 more source

Approximation properties of Kantorovich type q-Balázs-Szabados operators

Demonstratio Mathematica, 2019
In this paper, we introduce a new kind of q-Balázs-Szabados-Kantorovich operators called q-BSK operators. We give a weighted statistical approximation theorem and the rate of convergence of the q-BSK operators.
Özkan Esma Yıldız
doaj   +1 more source

On a new family of generalized Bernstein operators

, 2022
In this paper we remark that α-Bernstein operators, introduced by X. Y. Chen et al., are combinations of two known operators (Stancu and Bernstein operators) and we establish the preservation of global smoothness properties by these linear operators, the
TALPĂU DIMITRIU , Maria
core   +1 more source

Approximation process of a positive linear operator of hypergeometric type

Demonstratio Mathematica
In this article, we construct a new sequence of positive linear operators Hn:B[0,1]→C[0,1]{H}_{n}:B{[}0,1]\to C{[}0,1] using the hypergeometric distribution of probability theory and the rational values of f at the equally spaced control points k∕nk/n
Karsli Harun
doaj   +1 more source

Direct and Converse Theorems for Generalized Bernstein-Type Operators [PDF]

, 2004
2000 Mathematics Subject Classification: 41A25, 41A27, 41A36.We establish direct and converse theorems for generalized parameter dependent Bernstein-type operators.
Finta, Zoltán
core  

King-type operators related to squared Szász-Mirakyan basis

, 2020
In this paper we study some approximation properties of a sequence of positive linear operators defined by means of the squared Szász-Mirakyan basis and prove that these operators behave better than the classical Szász-Mirakyan operators.
HOLHOȘ, Adrian
core   +1 more source