Abstract
The present work focuses on the statistical Euler summa-bility, Euler statistical convergence, and Euler summability of se-quences of fuzzy real numbers via the generalized fractional differ-ence operator. We make an effort to establish some relations be-tween different sorts of Euler convergence. Further, we discuss the fuzzy continuity and demonstrate a fuzzy Korovkin-type approxi-mation theorem. Finally, we study fuzzy rate of the convergence of approximating fuzzy positive linear operators through the modulus of continuity.