Year: 2024
Type: article
Abstract: In this work, with the aid of the two parameter Gamma function, we define a new type of the Gamma operator. We have proved Voronovskaya type theorem and rate of convergence. We establish uniform convergence of a sequence of the new type Gamma operator via power series method. The power series method is also used to analyze the rate of convergence of operators. Finally, numerical examples are given to show the approximate properties of the new type Gamma operator.
Source: Filomat
DOI: 10.2298/fil2410361a
Authors: Ebru Altıparmak, Seda Demir, Gürhan İçöz
Institutions: Erzurum Technical University, Gazi University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4409439523