A family of singular functions and its relation to harmonic fractal analysis and fuzzy logic
Enrique de Amo ; Manuel Díaz Carrillo ; Juan Fernández-Sánchez
Open Mathematics, Tome 14 (2016), p. 1039-1052 / Harvested from The Polish Digital Mathematics Library
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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, and new properties close to fractal analysis and strong negations are explored.

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:287129 
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     author = {Enrique de Amo and Manuel D\'\i az Carrillo and Juan Fern\'andez-S\'anchez},
     title = {A family of singular functions and its relation to harmonic fractal analysis and fuzzy logic},
     journal = {Open Mathematics},
     volume = {14},
     year = {2016},
     pages = {1039-1052},
     zbl = {1354.26006},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2016-0094}
}

Enrique de Amo; Manuel Díaz Carrillo; Juan Fernández-Sánchez. A family of singular functions and its relation to harmonic fractal analysis and fuzzy logic. Open Mathematics, Tome 14 (2016) pp. 1039-1052. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2016-0094/