STABILITY OF SOME POSITIVE LINEAR OPERATORS ON COMPACT DISK

摘要

Recently,Popa and Rasa[27,28]have shown the(in)stability of some classical operators defined on[0,1]and found best constant when the positive linear operators are stable in the sense of Hyers-Ulam.In this paper we show Hyers-Ulam(in)stability of complex Bernstein-Schurer operators,complex Kantrovich-Schurer operators and Lorentz operators on compact disk.In the case when the operator is stable in the sense of Hyers and Ulam,we find the infimum of Hyers-Ulam stability constants for respective operators.