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math.FA2022
Quantitative Korovkin theorems for sublinear, monotone and strongly translatable operators in
Sorin G. Gal, Constantin P. Niculescu
By extending the classical quantitative approximation results for positive and linear operators in of Berens and DeVore in 1978 and of Swetits a…
math.FA2021
Nonlinear versions of Korovkin's abstract theorems
Sorin G. Gal, Constantin P. Niculescu
In this paper we prove Korovkin type theorems for sequences of sublinear, monotone and weak additive operators acting on function spaces C(X); where X is a compact or a locally com…
math.FA2020
Choquet operators associated to vector capacities
Sorin G. Gal, Constantin P. Niculescu
The integral representation of Choquet operators defined on a space C(X) is established by using the Choquet-Bochner integral of a real-valued function with respect to a vector cap…