Approximation properties of generalized Szasz and Bernstein-Chlodowsky operators

A. N. Mammadova and A. E. Abdullayeva

In the present paper we consider the generalized Bernstein-Chlodowsky polynomial and two variable generalized Szasz operator. For the first operator we obtain convergence property on bounded intervals of positive semi-axis. For the second operator, we obtain direct approximation property on positive semi-axis as estimate of the two variable generalized Szasz operator by two variable weighted modulus of continuity. 

Tbilisi Mathematical Journal, Vol. 14(2) (2021), pp. 179-192