A GENERALIZED SINGULAR FUNCTION

• 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: PDF
• 발행일자: 2010.12.30

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