Approximations by linear operators in spaces of fuzzy continuous functions (Q539271)

Classical Korovkin results in approximation theory establish the convergence of positive linear operators on classes of continuous functions, assuming only the convergence on a finite number of functions from these classes. This paper extends such results to the setting of fuzzy analysis in two ways: by using fuzzy convergence instead of uniform convergence, and also by considering spaces of fuzzy continuous functions. Two examples demonstrate that the new results are stronger than the classical ones.