关于序列的不等式及其应用  

Inequalities on Sequences with Applications

作　　者：李军[1] 

机构地区：[1]西华师范大学数学系,南充637002

出　　处：《数学学报（中文版）》2004年第2期273-278,共6页Acta Mathematica Sinica：Chinese Series

基　　金：西华师范大学科研启动基金资助项目(2003-3)

摘　　要：本文证明了一些关于新的序列的不等式.作为定理的应用,引进了一类新的迭 代序列并证明了它的收敛性.进一步地,证明了它与著名的Ishikawa迭代序列等价.In this paper, we will prove some new inequalities on sequences. As applications of our theorems, we introduce a new kind of iterative procedure, and give a proof of the convergence for it. Furthermore, we show that it is equivalent to the Ishikawa iterative sequence which is well known.

关 键 词：收敛性 迭代序列 非负实序列 

分 类 号：O177.91[理学—数学] O178[理学—基础数学]