Bullen, P. S.; Mukhopadhyay, S. N. Properties of \(Baire^*\)-1 Darboux functions and some mean value theorems for Peano derivatives. (English) Zbl 0726.26002 Math. Jap. 36, No. 2, 309-316 (1991). 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. Reviewer: P.Kostyrko (Bratislava) Cited in 1 Document 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 Keywords:Peano derivatives; \(Baire^ *\)-1 Darboux functions; mean-value theorems PDFBibTeX XMLCite \textit{P. S. Bullen} and \textit{S. N. Mukhopadhyay}, Math. Japon. 36, No. 2, 309--316 (1991; Zbl 0726.26002)