36 citations · 146 across the 26 of their papers we have counts for
29 papers
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.
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…
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…
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…
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…
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…