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Please use this identifier to cite or link to this item: http://hdl.handle.net/10481/45164

Title: A family of singular functions and its relation to harmonic fractal analysis and fuzzy logic
Authors: Amo, Enrique de
Dáiz Carrillo, Manuel
Fernández Sánchez, Juan
Issue Date: 2016
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.
Sponsorship: This work was supported by the Ministerio de Economía y Competitividad (Spain) under Research Project No. MTM2014-60594-P and partially supported by FEDER.
Publisher: De Gruyter Open
Keywords: Singular function
Hausdorff dimension
Katok foliation
Strong negation
URI: http://hdl.handle.net/10481/45164
ISSN: 2391-5455
Rights : Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License
Citation: Amo, E.; Díaz Carrillo, M.; Fernández Sánchez, J. A family of singular functions and its relation to harmonic fractal analysis and fuzzy logic. Open Mathematics, 14: 1030-1052 (2016). [http://hdl.handle.net/10481/45164]
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