Mařík, J. Derivatives and closed sets. (English) Zbl 0543.26003 Acta Math. Hung. 43, 25-29 (1984). The author proves that a real function defined on a closed set S and differentiable relative to S can be extended to a function differentiable on the whole real line. This is a generalization of a result of G. Petruska and M. Laczkovich [Acta. Math. Acad. Sci. Hung. 25, 189- 212 (1974; Zbl 0279.26003)]. Reviewer: P.Kostyrko Cited in 8 Documents MSC: 26A24 Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems Keywords:extension to a function differentiable on the whole real line; closed set Citations:Zbl 0279.26003 × Cite Format Result Cite Review PDF Full Text: DOI References: [1] G.Petruska and M. Laczkovich, Baire 1 functions, approximately continuous functions and derivatives,Acta Math. Acad. Sci. Hungar.,25 (1974), 189–212. · Zbl 0279.26003 · doi:10.1007/BF01901760 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.