Statistical Korovkin-type theorem for monotone and sublinear operators

Ionut Tudor Iancu

Abstract


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.


Keywords


Korovkin-type theorems; monotone and sublinear operator; nonlinear Choquet integral; statistical convergence

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DOI: http://dx.doi.org/10.24193/subbmath.2023.2.14

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