On f -strongly Cesàro and f -statistical derivable functions

In this manuscript, we introduce the following novel concepts for real functions related to f -convergence and f -statistical convergence: f -statistical continuity, f -statistical derivative, and f -strongly Cesàro derivative. In the first subsection of original results, the f -statistical continuity is related to continuity. In the second subsection, the f -statistical derivative is related to the derivative. In the third and final subsection of results, the f -strongly Cesàro derivative is related to the strongly Cesàro derivative and to the f -statistical derivative. Under suitable conditions of the modulus f, several characterizations involving the previous concepts have been obtained.