一个涉及等差数列平方根不等式的加强
A Strengthening of an Inequality of Square Root of Arithmetic Procession
杨克昌1
作者信息
- 1. 湖南理工学院, 湖南 岳阳 414006
- 折叠
摘要
应用构造求和相消与待定系数法,建立关于等差数列{ak}各项平方根倒数之和nΣk=m1/√ak 的上、下限估计,加强了涉及等差数列的若干已有结论.
Abstract
The estimated bounds of nΣk=m1/√ak,the sum of reciprocals of the square root of each part of arithmetic procession{ak},are established by applying the structured summation approach and the method of undetermined coefficients.Thus,the conclusions of series of equal differences involved are strengthened.
关键词
等差数列/平方根/不等式/加强Key words
arithmetic procession/square root/inequality/strengthen引用本文复制引用
出版年
2024
NETL
NSTL
维普
万方数据