Keyword: K-dimension : Search

Processing math: 100%

System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours.
For online purchase, please visit us again. Contact us at customercare@wspc.com for any enquiries.

Advanced Search

SEARCH GUIDE

Results: 1 - 1of1

Follow results:

per page:

Sort: Relevance

Context for search term 1Search term 1*

All Dates

LastSelect static range

Custom Range

Select starting monthSelect starting year

Select ending monthSelect ending year

Search name	Searched On	Run search
Keyword: OU Sequence (1)	29 Mar 2025	Run
Keyword: K-dimension (1)	29 Mar 2025	Run
Keyword: Cell Colony (1)	29 Mar 2025	Run
Keyword: Force Curve (1)	29 Mar 2025	Run
Keyword: Fiber Laser (31)	29 Mar 2025	Run

articleFree Access
RESEARCH ON THE $K$ -DIMENSION OF THE SUM OF TWO CONTINUOUS FUNCTIONS AND ITS APPLICATION
- Y. X. CAO,
- N. LIU, and
- Y. S. LIANG
Fractals01 Jan 2024
Preview Abstract
In this paper, we have done some research studies on the fractal dimension of the sum of two continuous functions with different $K$ -dimensions and approximation of $s$ -dimensional fractal functions. We first investigate the $K$ -dimension of the linear combination of fractal function whose $K$ -dimension is $s$ and the function satisfying Lipschitz condition is still $s$ -dimensional. Then, based on the research of fractal term and the Weierstrass approximation theorem, an approximation of the $s$ -dimensional continuous function is given, which is composed of finite triangular series and partial Weierstrass function. In addition, some preliminary results on the approximation of one-dimensional and two-dimensional fractal continuous functions have been given.

1