实数序列的通项公式问题  

On the formulas of general terms of real sequences

作　　者：东洪平[1] 

机构地区：[1]陇南师范高等专科学校数学系,甘肃成县742500

出　　处：《西北师范大学学报（自然科学版）》2016年第1期17-20,共4页Journal of Northwest Normal University(Natural Science)

摘　　要：讨论实数序列的通项公式,证明了任意实数序列可以通过[0,+∞)上任意次连续可微函数给出其通项公式,任意单调有界实数序列可以通过(-∞,+∞)上的解析函数给出其通项公式.This paper is concerned with the formulas of general terms of sequences of real numbers.It is proved that for any sequence of real numbers,the formula of general terms of the sequence can be given via continuously differentiable functions on [0,＋ ∞）,and for any bounded monotone sequence of real numbers,its general term formula can be obtained by using analytic functions on（-∞,＋∞）.

关 键 词：实数序列 单调有界数列 通项公式 

分 类 号：O174.1[理学—数学]