Stability of Some Positive Linear Operators on Compact Disk
Classical Analysis and ODEs
2015-12-29 v1
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.
Keywords
Cite
@article{arxiv.1506.02490,
title = {Stability of Some Positive Linear Operators on Compact Disk},
author = {M. Mursaleen and Khursheed J. Ansari and Asif Khan},
journal= {arXiv preprint arXiv:1506.02490},
year = {2015}
}
Comments
10 pages, Accepted in Acta Mathematica Scientia for publication