STABILITY OF SOME POSITIVE LINEAR OPERATORS ON COMPACT DISK

doi:10.1016/S0252-9602(15)30070-9

Abstract

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.

Key words: Hyers-Ulam stability, Bernstein-Schurer operators, Kantrovich-Schurer operators, Lorentz operators, stability constants

CLC Number:

39B82

M. MURSALEEN, Khursheed J. ANSARI, Asif KHAN. STABILITY OF SOME POSITIVE LINEAR OPERATORS ON COMPACT DISK[J].Acta mathematica scientia,Series B, 2015, 35(6): 1492-1500.

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