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 …

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 …

Ideal relatively uniform convergence with Korovkin and Voronovskaya types approximation theorems

SA Mohiuddine, B Hazarika, MA Alghamdi - Filomat, 2019 - doiserbia.nb.rs
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 …

(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 …

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) …

Generalized Statistically Almost Convergence Based on the Difference Operator which Includes the (pq)-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 …

[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 …

Approximation by Bivariate (pq)-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 …

Some Approximation Results on Bleimann-Butzer-Hahn Operators Defined by (𝑝, 𝑞)-Integers

M Mursaleen, M Nasiruzzaman, A Khan, KJ Ansari - Filomat, 2016 - JSTOR
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 …

Construction of Stancu-Type Bernstein Operators Based on Bézier Bases with Shape Parameter λ

HM Srivastava, F Özger, SA Mohiuddine - Symmetry, 2019 - mdpi.com
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 …