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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
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