On approximation process by certain modified Dunkl generalization of Szász-Beta type operators

Çiğdem Atakut, Seda Karateke, Ibrahim Büyükyazıcı
2019 Journal of Mathematics and Computer Science  
In this paper, we give a generalization of the Szász-Beta type operators generated by Dunkl generalization of exponential function and obtain convergence properties of these operators by using Korovkin's theorem and weighted Korovkin-type theorem. We also establish the order of convergence by using the modulus of smoothness and the weighted modulus of continuity.
doi:10.22436/jmcs.019.01.02 fatcat:yukrfxtxandtlpuahnje74c74e