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

Enrique de Amo, Manuel Díaz Carrillo, and Juan Fernández-Sánchez. "A family of singular functions and its relation to harmonic fractal analysis and fuzzy logic." Open Mathematics 14.1 (2016): 1039-1052. <http://eudml.org/doc/287129>.

@article{EnriquedeAmo2016,
abstract = {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.},
author = {Enrique de Amo, Manuel Díaz Carrillo, Juan Fernández-Sánchez},
journal = {Open Mathematics},
keywords = {Singular function; Hausdorff dimension; Katok foliation; Strong negation; singular function; strong negation},
language = {eng},
number = {1},
pages = {1039-1052},
title = {A family of singular functions and its relation to harmonic fractal analysis and fuzzy logic},
url = {http://eudml.org/doc/287129},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Enrique de Amo
AU - Manuel Díaz Carrillo
AU - Juan Fernández-Sánchez
TI - A family of singular functions and its relation to harmonic fractal analysis and fuzzy logic
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 1039
EP - 1052
AB - 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.
LA - eng
KW - Singular function; Hausdorff dimension; Katok foliation; Strong negation; singular function; strong negation
UR - http://eudml.org/doc/287129
ER -