7 citations · 12 across the 6 of their papers we have counts for
13 papers
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…
A new look at the Hardy-Littlewood-Pólya inequality of majorization
Constantin P. Niculescu
The Hardy-Littlewood-Pólya inequality of majorization is extended to the framework of ordered Banach spaces. Several applications illustrating our main results are also included.
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…
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…
A note on the isotonic vector-valued convex functions
Constantin P. Niculescu, Octav Olteanu
The property of isotonicity of a continuous convex function defined on the entire space or only on the positive cone is characterized via subdifferentials. Numerous examples illust…
A note on the Choquet type operators
Sorin G. Gal, Constantin P. Niculescu
In this note the Choquet type operators are introduced, in connection to Choquet's theory of integrability with respect to a not necessarily additive set function. Based on their p…