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一个涉及等差数列平方根不等式的加强

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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.
A Strengthening of an Inequality of Square Root of Arithmetic Procession
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.

arithmetic processionsquare rootinequalitystrengthen

杨克昌

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湖南理工学院, 湖南 岳阳 414006

等差数列 平方根 不等式 加强

2024

湖南理工学院学报(自然科学版)
湖南理工学院

湖南理工学院学报(自然科学版)

影响因子:0.259
ISSN:1672-5298
年,卷(期):2024.37(1)
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