f-Statistical approximation to Bögel-type continuous functionsS. AkdağIn this paper, considering the concept of f-statistical convergence which is a generalization of statistical convergence and is intermediate between the ordinary convergence and the statistical convergence, we obtain a f-statistical approximation theorem for sequences of positive linear operators defined on the space of all real valued B-continuous functions on a compact subset of the real line. Furthermore, we compute the rates of f-statistical convergence with the help mixed modulus of smoothness.Tbilisi Mathematical Journal, Vol. 14(2) (2021), pp. 93-103 |