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

In 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 prope...

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Bibliographic Details
Published inOpen mathematics (Warsaw, Poland) Vol. 21; no. 1; pp. 1 - 5
Main Authors Li, Yan-Fang, Qi, Feng
Format Journal Article
LanguageEnglish
Published Warsaw De Gruyter 08.12.2023
De Gruyter Poland
Subjects
26A09
33B10
41A58
cosine function
decreasing property
derivative formula
logarithmic expression
Logarithms
Maclaurin power series expansion
monotonicity rule
Power series
ratio of two differentiable functions
Series expansion
Trigonometric functions
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Summary:In 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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2023-0159