Theorems for generalized Favard-Kantorovich and Favard-Durrmeyer operators in exponential function spaces

摘要

We consider the Kantorovich and the Durrmeyer type modifications of the generalized Favard operators and we prove some direct approximation theorems for functions f such that w ?? f a?? L p(R), where 1 a‰¤ p a‰¤ a?? and w ??(x) = exp(a?’??x 2), ?? 0.