학술논문
A GENERALIZED SINGULAR FUNCTION
이용수 2
- 영문명
- 발행기관
- 충청수학회
- 저자명
- In Soo Baek
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 23, No. 4, 657~661쪽, 전체 5쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 2010.12.30
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국문 초록
영문 초록
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.
목차
1. Introduction
2. Preliminaries
References
키워드
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