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arXiv · 1506.02490

Stability of Some Positive Linear Operators on Compact Disk

M. Mursaleen·Khursheed J. Ansari·Asif Khan
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Abstract

Recently, Popa and Rasa [18,19] 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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M. Mursaleen, Khursheed J. Ansari, Asif Khan. 2015-05-24. Stability of Some Positive Linear Operators on Compact Disk. https://arxiv.org/abs/1506.02490

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