Results 31 to 40 of about 341 (102)

On -analogue of two parametric Stancu-Beta operators [PDF]

, 2007
Our purpose is to introduce a two-parametric ( p , q ) $(p, q)$ -analogue of the Stancu-Beta operators. We study approximating properties of these operators using the Korovkin approximation theorem and also study a direct theorem.
Abdizhahan M Sarsenbi, Mohammad Mursaleen, Taqseer Khan   +2 more
core   +2 more sources

Approximation by Kantorovich type (p,q)-Bernstein-Schurer Operators

Cogent Mathematics, 2015
In this paper, we introduce a Shurer type genaralization of (p,q)-Bernstein-Kantorovich operators based on (p,q)-integers and we call it as (p,q)-Bernstein-Schurer Kantorovich operators. We study approximation properties for these operators based on Korovkin's type approximation theorem and also study some direct theorems.
Mursaleen, M., Khan, Faisal
  +6 more sources

On Sequences of J. P. King‐Type Operators

Journal of Function Spaces, Volume 2019, Issue 1, 2019., 2019
This survey is devoted to a series of investigations developed in the last fifteen years, starting from the introduction of a sequence of positive linear operators which modify the classical Bernstein operators in order to reproduce constant functions and x2 on [0,1]. Nowadays, these operators are known as King operators, in honor of J. P.
Tuncer Acar, Mirella Cappelletti Montano, Pedro Garrancho, Vita Leonessa, Guozhen Lu   +4 more
wiley   +1 more source

Some approximation results on Chlodowsky type q−Bernstein-Schurer operators

Filomat, 2023
The main concern of this article is to obtain several approximation features of the new Chlodowsky type q-Bernstein-Schurer operators. We prove the Korovkin type approximation theorem and discuss the order of convergence with regard to the ordinary modulus of continuity, an element of Lipschitz type and Peetre?s K-functional, respectively ...
Mursaleen, M., Aslan, Reşat
openaire   +2 more sources

Voronovskaja-type theorem for certain GBS operators [PDF]

, 2008
In this paper we will demonstrate a Voronovskaja-type theorem and approximation theorem for GBS operator associated to a linear positive ...
Agratini, Badea, Badea, Baskakov, Bernstein, Bleimann, Cheney, Favard, Meyer-König, Mirakjan, Ovidiu T. Pop, Pop, Pop, Pop, Pop, Pop, Pop, Pop, Szász, Timan, Voronovskaja   +20 more
core   +2 more sources

On (p, q)‐Analogue of Gamma Operators

Journal of Function Spaces, Volume 2019, Issue 1, 2019., 2019
In this paper, a kind of new analogue of Gamma type operators based on (p, q)‐integers is introduced. The Voronovskaja type asymptotic formula of these operators is investigated. And some other results of these operators are studied by means of modulus of continuity and Peetre K−functional.
Wen-Tao Cheng, Wen-Hui Zhang, Henryk Hudzik   +2 more
wiley   +1 more source

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

Mathematics
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.
Abdullah Alotaibi
doaj   +1 more source

Hyers-Ulam stability of some positive linear operators [PDF]

The present article deals with the Hyers-Ulam stability of positive linear operators in approximation theory. We discuss the HU-stability of Bernstein-Schurer type operators, Bernstein-Durrmeyer operators and find the HU-stability constant for these ...
GOYAL, Meenu, KAUR, Jaspreet
core   +2 more sources

On the Approximation Process of Shifted‐Knots Bivariate Stancu‐Type Kantorovich Operators

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper focuses on defining bivariate Stancu‐type Kantorovich operators with the technique associated with the idea of shifted knots. The degree of approximation and weighted approximation of these bivariate operators are estimated, respectively, by means of Lipschitz kind bivariate functions and weighted functions of two variables. Furthermore, the
Abdullah Alotaibi, Ding-Xuan Zhou
wiley   +1 more source

On a Kantorovich Variant of (p, q)‐Szász‐Mirakjan Operators

Journal of Function Spaces, Volume 2016, Issue 1, 2016., 2016
We propose a Kantorovich variant of (p, q)‐analogue of Szász‐Mirakjan operators. We establish the moments of the operators with the help of a recurrence relation that we have derived and then prove the basic convergence theorem. Next, the local approximation and weighted approximation properties of these new operators in terms of modulus of continuity ...
M. Mursaleen, Abdullah Alotaibi, Khursheed J. Ansari, Pasquale Vetro   +3 more
wiley   +1 more source