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Quantitative approximation by nonlinear Angheluta-Choquet singular integrals [PDF]

open access: yesJournal of Numerical Analysis and Approximation Theory, 2020
By using the concept of nonlinear Choquet integral with respect to a capacity and as a generalization of the Poisson-Cauchy-Choquet operators, we introduce the nonlinear Angheluta-Choquet singular integrals with respect to a family of submodular set ...
Sorin Gal, Ionut Iancu
doaj   +11 more sources

Volterra-Choquet Nonlinear Operators

open access: yesTopological Methods in Nonlinear Analysis, 2020
In this paper we study to what extent properties of the classical linear Volterra operators can be transferred to the nonlinear Volterra-Choquet operators, obtained by replacing the classical linear integral with respect to the Lebesgue measure, by the ...
Sorin G Gal
exaly   +1 more source
Some of the next articles are maybe not open access.

A Note on the Choquet Type Operators

Aequationes Mathematicae, 2021
Constantin P. Niculescu, Sorin G Gal
exaly  

Approximation by Mixed Operators of Max-Product–Choquet Type

Springer Optimization and Its Applications, 2022
Sorin G Gal
exaly  

Choquet-Sugeno-Like Operator Based on Relation and Conditional Aggregation Operators

Information Sciences, 2022
Michal Boczek   +2 more
exaly  

Choquet Operators Associated to Vector Capacities

Journal of Mathematical Analysis and Applications, 2021
Constantin P. Niculescu, Sorin G Gal
exaly  

On the Extended Choquet-Sugeno-Like Operator

International Journal of Approximate Reasoning, 2023
Michal Boczek
exaly  

The Interval-Valued Choquet-Sugeno-Like Operator as a Tool for Aggregation of Interval-Valued Functions

Fuzzy Sets and Systems, 2022
Michal Boczek   +2 more
exaly  

Approximation by Choquet Integral Operators

Annali Di Matematica Pura Ed Applicata, 2016
Sorin G Gal
exaly  

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