A study of generalized Gamma-type operators
Year: 2025
Type: article
Abstract: In this study, we discuss the approximation properties of Gamma operators G? for absolutely continuous and locally bounded functions by using results of probability theory and some inequalities with the method of Bojanic-Cheng. And then, metric form ?u (?, ?) is used with asymptotic formula combining to calculate an convergence rate asymptotically of Gamma operators G? for the bounded functions locally and also analysis techniques are used with Bojanic-Khan-Cheng?s method to calculate an optimal convergence rate of Gamma operators G? for the functions which are absolutely continuous. Lastly, the convergence of the operators to a specific function is illustrated using Maple software.
Source: Filomat
DOI: 10.2298/fil2507195y
Authors: Jyoti Yadav, Tuncer Acar, Arun Kajla
Institutions: Central University of Haryana, Selçuk University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4413246263