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

Autor: Xin-Le Liu, Hai-Xia Long, Feng Qi
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Mathematics, Vol 11, Iss 14, p 3107 (2023)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math11143107
Popis: 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.
Databáze: Directory of Open Access Journals
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