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A simple proof of Oppenheim's double inequality relating to the cosine and sine functions

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Publication:4904287
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DOI10.7153/JMI-06-63zbMath1257.26012arXiv0902.2511OpenAlexW3098420371MaRDI QIDQ4904287

Feng Qi, Bai-Ni Guo, Qiu-Ming Luo

Publication date: 28 January 2013

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.2511


zbMATH Keywords

monotonicitycosine functionsine functionsimple proofOppenheim's double inequality


Mathematics Subject Classification ID

Inequalities for trigonometric functions and polynomials (26D05) Exponential and trigonometric functions (33B10)


Related Items (6)

Sharpening and generalizations of Shafer's inequality for the arc sine function ⋮ Some notes on a method for proving inequalities by computer ⋮ On Jordan type inequalities for hyperbolic functions ⋮ A constructive method for approximating trigonometric functions and their integrals ⋮ Monotonicity results and inequalities for the inverse hyperbolic sine function ⋮ Sharpening and generalizations of Shafer's inequality for the arc tangent function







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