1. Wilker-type inequalities for hyperbolic functions
- Author
-
Lokenath Debnath and Shanhe Wu
- Subjects
Kantorovich inequality ,Hölder's inequality ,Pure mathematics ,Wilker–Anglesio inequality ,Parameter ,Bernoulli's inequality ,Applied Mathematics ,Hyperbolic function ,Ky Fan inequality ,Mathematical analysis ,Mathematics::Geometric Topology ,Hyperbolic functions ,Log sum inequality ,Rearrangement inequality ,Cauchy–Schwarz inequality ,Wilker’s inequality ,Sándor–Bencze’s inequality ,Circular functions ,Mathematics - Abstract
Using classical analytic techniques, the Wilker–Anglesio inequality and parameterized Wilker inequality for hyperbolic functions are proved. The main result is then applied to deriving a hyperbolic analogue of the Sandor–Bencze inequality.
- Published
- 2012