Research articles
ScienceAsia 52 (2026): 1-7 |doi:
10.2306/scienceasia1513-1874.2026.075
A novel generalization of (λ,μ)-Bernstein-Kantorovich
operators and their approximation properties
Qing-Bo Caia,*, Murat Bodurb
ABSTRACT: Usingtheshapeparameter?isofgreatinterestnowadays. Thisparameterprovidesconsiderableflexibility,
and improves the modeling possibilities in approximation theory. This paper mainly introduces a novel generalized
(?,?)-Bernstein-Kantorovich operators. For these operators, we first examine the order of approximation using a
classical approach, Lipschitz class, and the second modulus of continuity. Finally, to compare the convergence of such
operators both to version of the (?,?)-Bernstein-Kantorovich operators and to themselves for different parameters, we
provide some graphical and numerical examples.
Download PDF
Downloads Views
| a |
Fujian Provincial Key Laboratory of Data-Intensive Computing, Key Laboratory of Intelligent Computing and
Information Processing, School of Mathematics and Computer Science, Quanzhou Normal University,
Quanzhou 362000 China |
| b |
Department of Engineering Basic Sciences, Faculty of Engineering and Natural Sciences, Konya Technical University,
Konya 42250 T?rkiye |
* Corresponding author, E-mail: qbcai@qztc.edu.cn
Received 28 Jul 2025, Accepted 28 Jul 2026
|
