On integral type generalizations of positive linear operators
Volume 174 / 2006
Studia Mathematica 174 (2006), 1-12
MSC: Primary 41A10, 41A25, 41A36; Secondary 40A25.
DOI: 10.4064/sm174-1-1
Abstract
We introduce a sequence of positive linear operators including many integral type generalizations of well known operators. Using the concept of statistical convergence we obtain some Korovkin type approximation theorems for those operators, and compute the rates of statistical convergence. Furthermore, we deal with the local approximation and the $r$th order generalization of our operators.
