Some Inequalities for the Generalized Trigonometric and Hyperbolic Functions

DOI

10.2991/cset-16.2016.59How to use a DOI?

Keywords

Generalized trigonometric functions, generalized hyperbolic functions, Shafer-Fink inequality, Wilker-type inequality

Abstract

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.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Baoju Sun
PY  - 2016/08
DA  - 2016/08
TI  - Some Inequalities for the Generalized Trigonometric and Hyperbolic Functions
BT  - Proceedings of the 2016 International Conference on Computer Science and Electronic Technology
PB  - Atlantis Press
SP  - 251
EP  - 254
SN  - 2352-538X
UR  - https://doi.org/10.2991/cset-16.2016.59
DO  - 10.2991/cset-16.2016.59
ID  - Sun2016/08
ER  -