Abstract
We give necessary and sufficient conditions for a Banach space valued function F: [0, 1] → X to be almost everywhere differentiable on [0, 1] in terms of the average range and the limit average range of F.
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Kaliaj, S.B. Some Full Characterizations of Differentiable Functions. Mediterr. J. Math. 12, 639–646 (2015). https://doi.org/10.1007/s00009-014-0458-2
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DOI: https://doi.org/10.1007/s00009-014-0458-2