Approximation Results by Statistical Convergence Based on a Power Series in Modular Spaces

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In this study, we present some approximation results in modular spaces for positive linear operators with the use of $$P$$ -statistical convergence which is recently added to literature by combining statistical convergence and power series. As an application, we provide an example which shows that our theorems are efficient to use since $$P$$ -statistical convergence assigns a limit to a divergent sequence. It is noteworthy to express that a sequence can be statistically convergent without being $$P$$ -statistically convergent and vice versa.