On the Wilker and Huygens-type inequalities

Chao-Ping Chen; Richard B. Paris

doi:10.7153/jmi-2020-14-44

On the Wilker and Huygens-type inequalities

Chao-Ping Chen^*, Richard B. Paris

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

23 Downloads (Pure)

Abstract

Chen and Cheung [3] established sharp Wilker and Huygens-type inequalities. These authors also proposed three conjectures on Wilker and Huygens-type inequalities. In this paper, we consider these conjectures. We also present sharp Wilker and Huygens-type inequalities.

Original language	English
Pages (from-to)	685-705
Number of pages	21
Journal	Journal of Mathematical Inequalities
Volume	14
Issue number	3
Early online date	1 Sep 2020
DOIs	https://doi.org/10.7153/jmi-2020-14-44
Publication status	Published - 1 Sep 2020

Keywords

Wilker and Huygens-type inequalities
Trigonometric functions
Bernoulli numbers

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Cite this

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title = "On the Wilker and Huygens-type inequalities",

abstract = "Chen and Cheung [3] established sharp Wilker and Huygens-type inequalities. These authors also proposed three conjectures on Wilker and Huygens-type inequalities. In this paper, we consider these conjectures. We also present sharp Wilker and Huygens-type inequalities.",

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AU - Paris, Richard B.

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N2 - Chen and Cheung [3] established sharp Wilker and Huygens-type inequalities. These authors also proposed three conjectures on Wilker and Huygens-type inequalities. In this paper, we consider these conjectures. We also present sharp Wilker and Huygens-type inequalities.

AB - Chen and Cheung [3] established sharp Wilker and Huygens-type inequalities. These authors also proposed three conjectures on Wilker and Huygens-type inequalities. In this paper, we consider these conjectures. We also present sharp Wilker and Huygens-type inequalities.

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DO - 10.7153/jmi-2020-14-44

M3 - Article

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EP - 705

JO - Journal of Mathematical Inequalities

JF - Journal of Mathematical Inequalities

SN - 1846-579X

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