Hyers-Ulam stability of some positive linear operators

Jaspreet Kaur, Meenu Goyal

Abstract


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.

Keywords


HU-stability, Positive Linear Operators, Approximation

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References


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DOI: http://dx.doi.org/10.24193/subbmath.2025.1.07

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