A sharp double inequality for sums of powers revisited

被引：0

作者：

Lampret, Vito ^{[1
]}

机构：

[1] Univ Ljubljana, Fac Civil & Geodet Engn, Ljubljana 1000, Slovenia

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2025年 / 2025卷 / 01期

关键词：

Estimate; Euler's number; Inequality; Limit; Monotone sequence; Rate of convergence; Sums of powers;

D O I：

10.1186/s13660-025-03253-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The proof of the monotonicity of the sequence nn Delta(n), presented in the 2011 article "A Sharp double inequality for sums of powers" by V. Lampret, is corrected. Namely, it is demonstrated that, for S(n):=Sigma k=1n(kn)n=Sigma j=0n(1-jn)n, the sequence nn(ee-1-S(n)) is strictly increasing.

引用

页数：11

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