학술저널
A GENERALIZED SINGULAR FUNCTION
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 23, No. 4
-
2010.12657 - 661 (5 pages)
- 2
We study a singular function which we call a general- ized cylinder convex(concave) function induced from di？？erent gen- eralized dyadic expansion systems on the unit interval. We show that the generalized cylinder convex(concave)function is a singular function and the length of its graph is 2. Using a local dimen- sion set in the unit interval, we give some characterization of the distribution set using its derivative, which leads to that this sin- gular function is nowhere di？？erentiable in the sense of topological magnitude.
1. Introduction
2. Preliminaries
References
(0)
(0)