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math.FA2023
Extension properties for monotone and sublinear operators
Sorin G. Gal
In this paper we obtain several extension properties for monotone and sublinear operators. The results obtained generalize those known for positive and linear operators.
math.FA2023
Nonlinear operator extensions of Korovkin's theorems
Sorin G. Gal, Constantin P. Niculescu
In this paper we extend Korovkin's theorem to the context of sequences of weakly nonlinear and monotone operators defined on certain Banach function spaces. Several examples illust…
math.FA2023★ 5 cited
Quantitative estimates of convergence in nonlinear operator extensions of Korovkin's theorems
Sorin G. Gal, Constantin P. Niculescu
This paper is aimed to prove a quantitative estimate (in terms of the modulus of continuity) for the convergence in the nonlinear version of Korovkin's theorem for sequences of wea…