On Approximation Properties of α-Baskakov Operators: Graphical Investigations

Abstract

This paper deals with some behavior of Baskakov-Schurer-Stancu type operators in approximating functions, grounded on non-negative parameter α. Firstly, we establish some needed moment estimations. Next, according to the famous Korovkin theorem we prove weighted approximation result of proposed operators. Also, we provide rate of convergence of these operators and as well as pointwise convergence theorems. Lastly, to demonstrate the efficiency and consistency of the operators, we provide some graphical representations. © 2025 Elsevier B.V., All rights reserved.