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Functions of Bounded Variation, the Derivative of the One Dimensional Maximal Function, and Applications to Inequalities

J. M. Aldaz, J. Pérez Lázaro, Functions of Bounded Variation, the Derivative of the One Dimensional Maximal Function, and Applications to Inequalities, Transactions of the American Mathematical ...
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Example of a Monotonic, Everywhere Differentiable Function on ℝ Whose Derivative Is not Continuous

https://doi.org/10.4169/amer.math.monthly.120.06.566 https://www.jstor.org/stable/10.4169/amer.math.monthly.120.06.566 Abstract We construct an example of a monotonic ...