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Peculiar functions built with the aid of the Cantor’s function

Enrique de Amo, Juan Fernández Sánchez

Abstract


Monotone increasing Cantor’s function is used as a ”machine” of buliding examples of peculiar functions having interesting properties both from the Fractal Measure Theory and from the Singular Functions points of view.

Keywords


Singular functions, Hausdorff (fractal) dimension, MNI functions.

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