Statistical Korovkin-type theorem for monotone and sublinear operators
DOI:
https://doi.org/10.24193/subbmath.2023.2.14Keywords:
Korovkin-type theorems, monotone and sublinear operator, nonlinear Choquet integral, statistical convergenceAbstract
In this paper we generalize the result on statistical uniform convergence in the Korovkin theorem for positive and linear operators in \(C([a, b])\), to the more general case of monotone and sublinear operators. Our result is illustrated by concrete examples.
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