New Cusa-Huygens type inequalities
Using the monotone form of the L'Hôspital rule, we discuss the (absolute) monotonicity of the functions $U\left(x\right)=\frac{1}{x^{4}}-% \frac{1}{x^{5}}\frac{3\sin x}{\cos x+2}$, $G(x)=\frac{1}{x^{2}}\left[\frac{% \ln\sin x-\ln x}{\ln\left(2+\cos x\right) -\ln 3}-1\right]$ and $J(x)=\frac{% 1...
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-07-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/10.3934/math.2020341/fulltext.html |