Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4663540 | Acta Mathematica Scientia | 2015 | 9 Pages |
Abstract
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.
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