On approximation of certain fuzzy linear operators

Abstract

The present work introduces a new positive fuzzy linear operator by means of fractional Kantorovich rational operator of Riemann Liouville type. Further, investigations related to fuzzy Korovkin theorem, fuzzy Voronoskaya, and Gr¨uss Voronoskaya theorem have been carried out via deferred Astatistical
convergence of order γ. Results including A-deferred statistical fuzzy rates of convergence have also been established using the modulus of smoothness of higher order, Peetre’s K–functional, Lipschitz maximal functions etc.