Journal
JOURNAL OF MATHEMATICAL INEQUALITIES
Volume 14, Issue 1, Pages 1-21Publisher
ELEMENT
DOI: 10.7153/jmi-2020-14-01
Keywords
Generalized trigonometric function; generalized hyperbolic function; Gamma function; Mitrinovic-Adamovic inequality; Lazarevic inequality; Huygens-type inequality; Wilker-type inequality; Cusa-Huygens-type inequality
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Funding
- Natural Science Foundation of China [11701176, 61673169, 11301127, 11626101, 11601485]
- Natural Science Foundation of Zhejiang Province [LQY18G030001]
- Huzhou University [2019-111]
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In the article, we establish several new inequalities for the generalized trigonometric and hyperbolic functions with one parameter, generalize the well known Mitrinovic-Adamovic, Lazarevic, Huygens-type, Wilker-type and Cusa-Huygens-type inequalities to the cases of the generalized trigonometric and hyperbolic functions with one parameter.
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