Hyers-Ulam stability of some positive linear operators
DOI:
https://doi.org/10.24193/subbmath.2025.1.07Keywords:
HU-stability, positive linear operators, approximationAbstract
The present article deals with the Hyers-Ulam stability of positive linear operators in approximation theory. We discuss the HU-stability of Bernstein-Schurer type operators, Bernstein-Durrmeyer operators and find the HU-stability constant for these operators. Also, we show that the beta operators with Jacobi weights are HU-unstable.
Mathematics Subject Classification (2010): 39B82, 41A35, 41A44.
Received 04 December 2023; Accepted 23 October 2024.
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