Kantorovich Extension of Parametric Generalized q-Schurer Operators and Their Approximation Properties
Year: 2025
Type: article
Abstract: This paper aims to extend, within the context of quantum calculus, the α-Bernstein–Schurer operators (α∈[0,1]) to Kantorovich form. Using the Ditzian–Totik modulus of continuity and the Lipschitz-kind maximal function for our recently extended operators, we first examine the Korovkin-type theorem before studying the global approximation and rate of convergence, respectively. Furthermore, Taylor’s formula is used to present Voronovskaja-type theorems. Lastly, the aforementioned operators are validated through the numerical results with graphical representation.
Source: Mathematics
DOI: 10.3390/math13233770
Authors: Md. Nasiruzzaman, Abdullah Alotaibi
Institutions: University of Tabuk, King Abdulaziz University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,137
OpenAlex ID: W4416730596