What question did this study set out to answer?

This research aims to improve the order of approximation for semi-exponential Bernstein operators.

Analysis of Semi‐Exponential Bernstein Operators With Improved Order of Approximation

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Randomized trial demonstrates new sequences of semi-exponential Bernstein operators in approximating functions, suggesting enhanced accuracy.

This research aims to improve the order of approximation for semi-exponential Bernstein operators.
Defined second and third order semi-exponential Bernstein operators.
Calculated their moments and proved asymptotic results.
Verified findings through numerical illustrations.
Introduced higher order semi-exponential Bernstein operators with superior approximation characteristics.
Demonstrated significant improvements in order of approximation compared to existing methods.

Kanita et al. (2026) studied this question.

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Randomized trial demonstrates new sequences of semi-exponential Bernstein operators in approximating functions, suggesting enhanced accuracy.