Approximation in Banach space by linear positive operators |
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Authors: | Arash Ghorbanalizadeh Yoshihiro Sawano |
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Affiliation: | 1. Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), 45137-66731?, Zanjan, Iran 2. Department of Mathematics and Information Science, Tokyo Metropolitan University, Tokyo, Japan
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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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