Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616104 | Journal of Mathematical Analysis and Applications | 2014 | 7 Pages |
Abstract
In 1951 V. Jarník constructed two continuous functions whose Volterra convolution is nowhere differentiable. We generalize Jarníkʼs results by proving that the set of such functions is maximal lineable. This would shed some light on a question posed in 1973 on the structure of the set of continuous functions whose Volterra convolution is nowhere differentiable.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
P. Jiménez-Rodríguez, S. Maghsoudi, G.A. Muñoz-Fernández,