江西科学2025，Vol.43Issue(5)：891-893,3.DOI:10.13990/j.issn1001-3679.2025.05.011
和函数的下盒维数
Box Dimensions of the Sum of Two Continuous Functions
刘国艳1
作者信息
- 1. 江苏大学京江学院,212000,江苏,镇江
- 折叠
摘要
Abstract
This paper investigates the estimation problem of the box-counting dimension of the graph of the sum of two continuous functions.Among the various cases where the box di-mensions of the two functions satisfy different relative magnitudes,this study focuses on the case s<t1<t2.Using a subsequence extraction method we prove that under this condition,both the lower and upper box dimensions of the graph of the sum function exist,and we pro-vide corresponding estimates.Here,s denotes the box-counting dimension of the graph of one function,while t1 and t2 represent the lower and upper box dimensions of the graph of the other function,respectively.关键词
盒维数/2个函数的和/上极限/下极限/聚点Key words
box dimension/sum function/upper limit/lower limit/accumulation point分类
数理科学引用本文复制引用
刘国艳..和函数的下盒维数[J].江西科学,2025,43(5):891-893,3.
