Abstract
In this paper, we obtain a sufficient condition for the convergence of positive linear operators in Banach function spaces on \({\mathbb {R}}^n\) and derive a Korovkin type theorem for these spaces. Also, we generalized this result via statistical sense.
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Acknowledgments
The research of Y. Sawano was supported by Grant-in-Aid for Young Scientists (B) (No.21740104) Japan Society for the Promotion of Science.
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Ghorbanalizadeh, A., Sawano, Y. Approximation in Banach space by linear positive operators. Positivity 18, 585–594 (2014). https://doi.org/10.1007/s11117-013-0264-2
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DOI: https://doi.org/10.1007/s11117-013-0264-2