What question did this study set out to answer?

The aim is to develop Korovkin-type theorems that incorporate exponential functions and advanced summability techniques.

On Korovkin-Type Theorems Including Exponential Test Functions on Infinite Intervals Through Power Series Convergence

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The paper demonstrates exponential convergence in approximation theory, suggesting new criteria for function classes.

The aim is to develop Korovkin-type theorems that incorporate exponential functions and advanced summability techniques.
Establish Korovkin-type theorems using exponential test functions.
Employ power series convergence and special cases for analysis.
Utilize Borel-type power series convergence through integral summability.
The proposed approach is applicable in scenarios where classical convergence fails.
Illustrative examples highlight cases where traditional results do not hold.
Rate of convergence is evaluated using the modulus of continuity.

Söylemez et al. (2026) studied this question.

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