Some inequalities for the generalized trigonometric and hyperbolic functions

机译：广义三角和双曲函数的一些不等式

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Some classical inequalities for trigonometric and hyperbolic functions, such as Shafer-Fink inequality, Shafer-Fink type inequality, and Wilker-type inequality, are generalized to the case of generalized functions. A conjecture posed by Klen, Vuorinen and Zhang [Journal of Mathematical Analysis and Applications, 409 (2014) 521-529] is proved.

机译：三角和双曲函数的一些经典不等式，例如福音传输不等式，福克斯 - 粉末型不等式和Wilker型不等式，以广义函数的情况推广。被Klen，Vuorinen和Zhang所带来的猜想[数学分析和应用，409（2014）521-529]证明了409（2014）。

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《International Conference on Computer Science and Electronic Technology》|2016年|347p|共4页
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作者
Bao-ju Sun;
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中图分类 TP3-53;
关键词
Generalized trigonometric functions; Generalized hyperbolic functions; Shafer-Fink inequality; Wilker-type inequality;

机译：广义三角函数;广义双曲函数;舍弗 - 福克不等式;威尔克型不平等;

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1. Wilker and Huygens- type inequalities for the generalized trigonometric and for the generalized hyperbolic functions [J] . Edward Neuman Applied mathematics and computation . 2014,第Null期

机译：广义三角函数和广义双曲函数的Wilker和惠更斯型不等式
2. Inequality chains related to trigonometric and hyperbolic functions and inverse trigonometric and hyperbolic functions [J] . Chao-Ping Chen, József Sándor Journal of Mathematical Inequalities . 2013,第4期

机译：与三角函数和双曲函数以及反三角函数和双曲函数有关的不等式链
3. Functional inequalities for generalized inverse trigonometric and hyperbolic functions [J] . árpád Baricz, Barkat Ali Bhayo, Tibor K. Pogány Journal of Mathematical Analysis and Applications . 2014,第1期

机译：广义逆三角函数和双曲函数的函数不等式
4. Some inequalities for the generalized trigonometric and hyperbolic functions [C] . Bao-ju Sun International Conference on Computer Science and Electronic Technology . 2016

机译：广义三角和双曲函数的一些不等式
5. Order of uniform approximation to analytic functions by rational trigonometric and weighted rational functions. [D] . Simmons, Richard D. 1989

机译：有理三角函数和加权有理函数对解析函数的均匀近似阶数。
6. Some Wilker and Cusa type inequalities for generalized trigonometric and hyperbolic functions [O] . Li-Guo Huang, Li Yin, Yong-Li Wang, -1

机译：广义三角函数和双曲函数的某些Wilker和Cusa型不等式
7. Inequality chains related to trigonometric and hyperbolic functions and inverse trigonometric and hyperbolic functions [O] . Chao-Ping Chen, József Sándor 2013

机译：与三角形和双曲函数相关的不等式链和逆三角和双曲函数

Some inequalities for the generalized trigonometric and hyperbolic functions

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