Approximation of functions by Stancu variant of Bernstein–Kantorovich operators based on shape parameter α
SA Mohiuddine, F Özger - Revista de la Real Academia de Ciencias …, 2020 - Springer
We construct the Stancu variant of Bernstein–Kantorovich operators based on shape
parameter α α. We investigate the rate of convergence of these operators by means of …
parameter α α. We investigate the rate of convergence of these operators by means of …
Approximation properties of λ-Bernstein operators
QB Cai, BY Lian, G Zhou - Journal of inequalities and applications, 2018 - Springer
In this paper, we introduce a new type λ-Bernstein operators with parameter λ∈− 1, 1 λ∈-
1,1, we investigate a Korovkin type approximation theorem, establish a local approximation …
1,1, we investigate a Korovkin type approximation theorem, establish a local approximation …
Ideal relatively uniform convergence with Korovkin and Voronovskaya types approximation theorems
We introduce the notion of ideally relative uniform convergence of sequences of real valued
functions. We then apply this notion to prove Korovkin-type approximation theorem, and then …
functions. We then apply this notion to prove Korovkin-type approximation theorem, and then …
(p,q)‐Generalization of Szász–Mirakyan operators
T Acar - Mathematical Methods in the Applied Sciences, 2016 - Wiley Online Library
In this paper, we introduce new modifications of Szász–Mirakyan operators based on (p, q)‐
integers. We first give a recurrence relation for the moments of new operators and present …
integers. We first give a recurrence relation for the moments of new operators and present …
On Kantorovich modification of -Baskakov operators
T Acar, A Aral, SA Mohiuddine - Journal of Inequalities and Applications, 2016 - Springer
The concern of this paper is to introduce a Kantorovich modification of (p, q) (p,q)-Baskakov
operators and investigate their approximation behaviors. We first define a new (p, q) (p,q) …
operators and investigate their approximation behaviors. We first define a new (p, q) (p,q) …
Generalized Statistically Almost Convergence Based on the Difference Operator which Includes the (p, q)-Gamma Function and Related Approximation Theorems
U Kadak, SA Mohiuddine - Results in Mathematics, 2018 - Springer
This paper is devoted to extend the notion of almost convergence and its statistical forms
with respect to the difference operator involving (p, q)-gamma function and an increasing …
with respect to the difference operator involving (p, q)-gamma function and an increasing …
[HTML][HTML] Bèzier curves based on Lupaş (p, q)-analogue of Bernstein functions in CAGD
K Khan, DK Lobiyal - Journal of Computational and Applied Mathematics, 2017 - Elsevier
This paper deals with the extension of rational Lupaş Bernstein functions, Lupaş Bèzier
curves and surfaces involving (p, q)-integers as shape parameters for all p> 0 and q> 0. Two …
curves and surfaces involving (p, q)-integers as shape parameters for all p> 0 and q> 0. Two …
Approximation by Bivariate (p, q)-Bernstein–Kantorovich Operators
T Acar, A Aral, SA Mohiuddine - Iranian Journal of Science and …, 2018 - Springer
In the present paper, we introduce Kantorovich modifications of (p, q)-Bernstein operators for
bivariate functions using a new (p, q)-integral. We first estimate the moments and central …
bivariate functions using a new (p, q)-integral. We first estimate the moments and central …
Some Approximation Results on Bleimann-Butzer-Hahn Operators Defined by (𝑝, 𝑞)-Integers
In this paper we introduce a generalization of the Bleimann-Butzer-Hahn operators based
on (𝑝, 𝑞)-integers and obtain Korovkin's type approximation theorem for these operators …
on (𝑝, 𝑞)-integers and obtain Korovkin's type approximation theorem for these operators …
Construction of Stancu-Type Bernstein Operators Based on Bézier Bases with Shape Parameter λ
We construct Stancu-type Bernstein operators based on Bézier bases with shape parameter
λ∈[− 1, 1] and calculate their moments. The uniform convergence of the operator and global …
λ∈[− 1, 1] and calculate their moments. The uniform convergence of the operator and global …