A Series Expansion of a Logarithmic Expression and a Decreasing Property of the Ratio of Two Logarithmic Expressions Containing Sine-Reference-Cited by-同舟云学术

A Series Expansion of a Logarithmic Expression and a Decreasing Property of the Ratio of Two Logarithmic Expressions Containing Sine

Published:2023-07-14 Issue:14 Volume:11 Page:3107
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Liu Xin-Le¹^ORCID,Long Hai-Xia²^ORCID,Qi Feng¹³^ORCID

Affiliation:

1. School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454010, China

2. School of Information Science and Technology, Hainan Normal University, Haikou 571158, China

3. Independent Researcher, Dallas, TX 75252-8024, USA

Abstract

In the paper, by virtue of a derivative formula for the ratio of two differentiable functions and with the help of a monotonicity rule, the authors expand a logarithmic expression involving the sine function into the Maclaurin power series in terms of specific determinants and prove a decreasing property of the ratio of two logarithmic expressions containing the sine function. These results are interesting purely in pure mathematics.

Funder

National Natural Science Foundation of China

Hainan Provincial Natural Science Foundation of China

Haikou Science and Technology Plan Project of China

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/14/3107/pdf

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