The Log-Behavior of the Partial Sum for the Tribonacci Numbers

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2017-01-02 DOI:10.18311/JIMS/2017/6115

Feng-Zhen Zhao

引用次数: 0

Abstract

Let {T n } n ≥ 0 and {T n [1] } n ≥ 0 denote the tribonacci sequence and the sequence for the partial sum of {T n } n ≥ 0, respectively. In this paper, we mainly investigate the log-concavity of T n [1] } n ≥ 1 and the log-balancedness of some sequences involving T n [1] . In addition, we discuss the monotonicity of some sequences related to T n [1] .

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Tribonacci数的部分和的对数行为

设｛Tn｝n≥0和｛Tn[1]}n≥0分别表示tribonaci序列和｛T n｝n≥0的部分和的序列。本文主要研究了Tn[1]}n≥1的对数凹性和一些涉及Tn[1]的序列的对数平衡性。此外，我们还讨论了一些与Tn[1]有关的序列的单调性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the Indian Mathematical Society Mathematics-Mathematics (all)

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.