Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1892507 | Chaos, Solitons & Fractals | 2006 | 8 Pages |
Abstract
The concept of derivatives of functions plays a key role in the study of local fields. Such a definition was given by virtue of pseudo-differential operators by Su in 1992 [Su W. Pseudo-differential operators and derivatives on locally compact Vilenkin groups. Sci China (series A) 1992;35(7A):826-36; Su W. Gibbs-Butzer derivatives and the applications. Numer Funct Anal Optimiz 1995;16(5-6):805-24]. In this paper, a kind of Weierstrass-like functions in the p-series local fields are found, these Weierstrass-like functions [Falconer KJ. Fractal geometry: mathematical foundations and applications. New York: John Wiley & Sons, Inc.; 1990. [1]] are continuous, and m order differentiable with m < 1 but not one order differentiable at any point in its domain.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Qiu Hua, Su Weiyi,