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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.FA2022
Korovkin type theorems for weakly nonlinear and monotone operators
Sorin G. Gal, Constantin P. Niculescu
In this paper we prove analogues of Korovkin's theorem in the context of weakly nonlinear and monotone operators acting on Banach lattices of functions of several variables. Our re…