A series expansion of a logarithmic expression and a decreasing property of the ratio of two logarithmic expressions containing cosine-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 cosine

Published:2023-01-01 Issue:1 Volume:21 Page:
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Li Yan-Fang¹^ORCID,Qi Feng¹²^ORCID

Affiliation:

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

2. School of Mathematics and Physics, Hulunbuir University , Hulunbuir 021008 , Inner Mongolia , China

Abstract

AbstractIn this study, by virtue of a derivative formula for the ratio of two differentiable functions and with aid of a monotonicity rule, the authors expand a logarithmic expression involving the cosine 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 cosine function.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2023-0159/pdf

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