$A family of singular functions and its relation to harmonic fractal analysis and fuzzy logic$

A family of singular functions and its relation to harmonic fractal analysis and fuzzy logic

We study a parameterized family of singular functions which appears in a paper by H. Okamoto and M. Wunsch (2007). Various properties are revisited from the viewpoint of fractal geometry and probabilistic techniques. Hausdorff dimensions are calculated for several sets related to these functions, an...

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Bibliographic Details
Main Authors:	de Amo Enrique, Carrillo Manuel Díaz, Fernández-Sánchez Juan
Format:	Article
Language:	English
Published:	De Gruyter 2016-01-01
Series:	Open Mathematics
Subjects:	singular function hausdorff dimension katok foliation strong negation 26a30 26a24 26a48 11a67
Online Access:	https://doi.org/10.1515/math-2016-0094

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