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September 10, 2025FilomatOpen Access

On the approximation of several modified Bernstein-type operators

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This paper introduces new modified bernstein-type operators, revealing their approximation rate and unique properties.

The novel modified bernstein durrmeyer operators exhibit unique properties and a specific approximation rate.
Voronovaskaja's asymptotic estimation establishes a theoretical framework for analyzing these operators.
Comparison of different bernstein-type operators highlights critical factors like positivity and linearity.
The study employs both analytical and empirical methods to validate the operators' approximation performance.

Chen et al. (2025) studied this question.

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