Two sharp inequalities for trigonometric and hyperbolic functions

By Chao Chen, József Sándor. 2012

57 citations recorded by the source corpus.

We determine the best positive constants p and q such that (sinhx/x)p < x/sinx < (sinhx/x)q. Some applications for Wilker’s type inequalities are given. Mathematics subject classification (2010): 26D05, 26D07, 26D99.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/3824ab37691a5295b4e17eee60336ca12b8ec3ff