M. Mursaleen, Khursheed J. Ansari, Asif Khan
Published 2015-05-24Version 1
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.
Comments: 10 pages, Accepted in Acta Mathematica Scientia for publication
Approximation by (p,q)-Lorentz polynomials on a compact disk
Korovkin-type Theorems and Approximation by Positive Linear Operators
On the composition and decomposition of positive linear operators III: A non-trivial decomposition of the Bernstein operator
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