In 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.
"$f-$Statistical approximation to Bögel-type continuous functions." Tbilisi Math. J. 14 (2) 93 - 103, June 2021. https://doi.org/10.32513/tmj/19322008125