Approximation by Gamma type operators

Abstract

In this study, we introduce newly defined Gamma operators which preserve constants and e(2 mu center dot), mu>0 functions. In accordance with this purpose, we focus on their approximation properties such as uniform convergence, rate of convergence, asymptotic formula, and saturation results. Superior properties of introduced operators have been tested both theoretically and numerically in certain senses to highlight the performance of the new constructions of Gamma operators.