Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774823 | Journal of Mathematical Analysis and Applications | 2017 | 15 Pages |
Abstract
This paper highlights an unexpected connection between expansions of real numbers to noninteger bases (so-called β-expansions) and the infinite derivatives of a class of self-affine functions. Precisely, we extend Okamoto's function (itself a generalization of the well-known functions of Perkins and Katsuura) to a two-parameter family {FN,a:NâN,1/(N+1)
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Pieter C. Allaart,