On Asymmetrical Derivates of Non-Differentiable Functions

Abstract

Let ƒ(x) be a non-differentiable function, i.e. a realvalued continuous function denned on a linear interval which has nowhere a finite or infinite derivative. We shall say that ƒ(x) has symmetrical derivates at a point x if the four Dini derivates of ƒ(x) at x satisfy the relationsand otherwise we shall say that ƒ(x) has asymmetrical dérivâtes at x.