Engel序列的误差和函数性质研究

On the Error-sum Function of Engel Series

文章定义了Engel序列的误差和函数,得到了一类处处左连续,但在某类可数点不右连续的函数,并得到了该函数的积分值和Hausdorff维数,完善了误差和函数的理论体系。

In this paper, the error-sum function of Engel series is defined, it is a kind of function which is left continuous at each x ε （0,1 ] , but not right continuous at some kind of countable points set, the integral value and the graph dimension of the function are also computed, which enriches the theory of error-sum function.