Year: 2025
Type: article
Abstract: The objective of this article is to propose a higher-order Szász-Kantorovich operator by leveraging the Charlier polynomials. Through rigorous analysis, we demonstrate the validity of various theorems including a local approximation theorem, a Voronovskaja-type theorem, a quantitative Voronovskaja-type asymptotic theorem, and a Grüss Voronovskaja type approximation theorem. Furthermore, we extend our research to encompass weighted approximation theorems applicable to these newly defined operators.
DOI: 10.3934/mfc.2025030
Institution: Central University of Haryana
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4414530700