Inequalities for the generalized trigonometric and hyperbolic functions

Inequalities for the generalized trigonometric and hyperbolic functions

In this paper, the authors present some inequalities of the generalized trigonometric and hyperbolic functions which occur in the solutions of some linear differential equations and physics. By these results, some well-known classical inequalities for them are improved, such as Wilker inequality, Hu...

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Main Authors: Ma Xiaoyan, Si Xiangbin, Zhong Genhong, He Jianhui
Format: Article
Language:English
Published: De Gruyter 2020-12-01
Series:Open Mathematics
Subjects:
generalized trigonometric and hyperbolic functions
wilker inequality
huygens inequality
lazarević inequality
cusa-huygens inequality
26d05
26d07
Online Access:http://www.degruyter.com/view/j/math.2020.18.issue-1/math-2020-0096/math-2020-0096.xml?format=INT
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spelling doaj-32697215b8e84a3b875c075a18f630cf2021-02-28T21:53:20ZengDe GruyterOpen Mathematics2391-54552020-12-011811580158910.1515/math-2020-0096math-2020-0096Inequalities for the generalized trigonometric and hyperbolic functionsMa Xiaoyan0Si Xiangbin1Zhong Genhong2He Jianhui3Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou, 310018, ChinaDepartment of Mathematics, Zhejiang Sci-Tech University, Hangzhou, 310018, ChinaBasic Department, Keyi College of Zhejiang Sci-Tech University, Shaoxing, 312300, ChinaBasic Department, Keyi College of Zhejiang Sci-Tech University, Shaoxing, 312300, ChinaIn this paper, the authors present some inequalities of the generalized trigonometric and hyperbolic functions which occur in the solutions of some linear differential equations and physics. By these results, some well-known classical inequalities for them are improved, such as Wilker inequality, Huygens inequality, Lazarević inequality and Cusa-Huygens inequality.http://www.degruyter.com/view/j/math.2020.18.issue-1/math-2020-0096/math-2020-0096.xml?format=INTgeneralized trigonometric and hyperbolic functionswilker inequalityhuygens inequalitylazarević inequalitycusa-huygens inequality26d0526d07
collection DOAJ
language English
format Article
sources DOAJ
author Ma Xiaoyan
Si Xiangbin
Zhong Genhong
He Jianhui
spellingShingle Ma Xiaoyan
Si Xiangbin
Zhong Genhong
He Jianhui
Inequalities for the generalized trigonometric and hyperbolic functions
Open Mathematics
generalized trigonometric and hyperbolic functions
wilker inequality
huygens inequality
lazarević inequality
cusa-huygens inequality
26d05
26d07
author_facet Ma Xiaoyan
Si Xiangbin
Zhong Genhong
He Jianhui
author_sort Ma Xiaoyan
title Inequalities for the generalized trigonometric and hyperbolic functions
title_short Inequalities for the generalized trigonometric and hyperbolic functions
title_full Inequalities for the generalized trigonometric and hyperbolic functions
title_fullStr Inequalities for the generalized trigonometric and hyperbolic functions
title_full_unstemmed Inequalities for the generalized trigonometric and hyperbolic functions
title_sort inequalities for the generalized trigonometric and hyperbolic functions
publisher De Gruyter
series Open Mathematics
issn 2391-5455
publishDate 2020-12-01
description In this paper, the authors present some inequalities of the generalized trigonometric and hyperbolic functions which occur in the solutions of some linear differential equations and physics. By these results, some well-known classical inequalities for them are improved, such as Wilker inequality, Huygens inequality, Lazarević inequality and Cusa-Huygens inequality.
topic generalized trigonometric and hyperbolic functions
wilker inequality
huygens inequality
lazarević inequality
cusa-huygens inequality
26d05
26d07
url http://www.degruyter.com/view/j/math.2020.18.issue-1/math-2020-0096/math-2020-0096.xml?format=INT
work_keys_str_mv AT maxiaoyan inequalitiesforthegeneralizedtrigonometricandhyperbolicfunctions
AT sixiangbin inequalitiesforthegeneralizedtrigonometricandhyperbolicfunctions
AT zhonggenhong inequalitiesforthegeneralizedtrigonometricandhyperbolicfunctions
AT hejianhui inequalitiesforthegeneralizedtrigonometricandhyperbolicfunctions
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