36 citations · 146 across the 26 of their papers we have counts for
6 papers · 1 filter
Semi-discrete Gruss-Voronovskaya-type and Gruss-type estimates for Bernstein-Kantorovich polynomials
Sorin G. Gal
The aim of this note is to prove a semi-discrete Gruss-Voronovskaya-type estimate for Bernstein-Kantorovich polynomials. Also, as a consequence, a perturbed Gruss-type estimate is…
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 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…
Approximation of Random Functions by Random Polynomials in the Framework of Choquet's Theory of Integration
Sorin G. Gal, Constantin Niculescu
Given a submodular capacity space, we prove the uniform convergence in capacity and also the uniform convergence in the Choquet-mean of order with a quantitative estimate,…
Volterra-Choquet nonlinear operators
Sorin G. Gal
In this paper we study to what extend some properties of the classical linear Volterra operators could be transferred to the nonlinear Volterra-Choquet operators, obtained by repla…
A Nonlinear Extension of Korovkin's Theorem
Sorin G. Gal, Constantin Niculescu
In this paper we extend the classical Korovkin theorems to the framework of comonotone additive, sublinear and monotone operators. Based on the theory of Choquet capacities, severa…