## Properties of $$Baire^*$$-1 Darboux functions and some mean value theorems for Peano derivatives.(English)Zbl 0726.26002

From authors’ abstract: In the first part of the paper various properties of continuous functions are shown to hold for Baire$${}^*$$-1 Darboux functions. The second part of the paper extends various mean-value theorems to higher order derivatives.

### MSC:

 26A24 Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems 26A15 Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable 26A21 Classification of real functions; Baire classification of sets and functions