喻德生, 陈佳英, 梁学礼. 迭代数列收敛性与特征函数单调性之间的关系及应用[J]. 南昌航空大学学报(自然科学版), 2008, 22(1): 20-22.
引用本文: 喻德生, 陈佳英, 梁学礼. 迭代数列收敛性与特征函数单调性之间的关系及应用[J]. 南昌航空大学学报(自然科学版), 2008, 22(1): 20-22.
shu
YU De-sheng, CHEN Jia-ying, LIANG Xue-li. On the relation between recurrent sequence convergence and functional monotonicity and applications[J]. Journal of nanchang hangkong university(Natural science edition), 2008, 22(1): 20-22.
Citation: YU De-sheng, CHEN Jia-ying, LIANG Xue-li. On the relation between recurrent sequence convergence and functional monotonicity and applications[J]. Journal of nanchang hangkong university(Natural science edition), 2008, 22(1): 20-22.
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迭代数列收敛性与特征函数单调性之间的关系及应用

On the relation between recurrent sequence convergence and functional monotonicity and applications

    摘要
  • 摘要: 给出迭代数列特征函数的概念,得到利用特征函数单调性判断一类迭代数列极限存在性并求其极限的两个定理,并举例说明利用这些定理求解一类迭代数列极限的一般方法.

     

    Abstract: In this paper,the definition of characteristic function for recurrent sequences is put forward,and then two theorems for proving the convergence of a class of recurrent sequences are obtained,finally the method of applying the theorems to solve the recurrent sequence problems is explained with examples.

     

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