József Sándor

Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132

Volume 19, 2013, Number 1, Pages 50—54

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## Details

### Authors and affiliations

József Sándor

*Babeș-Bolyai University, Department of Mathematics
Str. Kogălniceanu nr. 1, 400084 Cluj-Napoca, Romania
*

### Abstract

We determine the best positive constants *a* and *b* such that

Similar sharp inequalities are also considered.

### Keywords

- Inequalities
- Trigonometric functions
- Hyperbolic functions
- Monotonicity theorems

### AMS Classification

- 26D05
- 26D07
- 26D99

### References

- Hardy, G.H., J.E. Littlewood, G. Pólya. Inequalities, Cambridge Univ. Press, 1959.
- Neuman, E., J. Sándor, On some inequalities involving trigonometric and hyperbolic functions with emphasis on the Cusa–Huygens, Wilker, and Huygens inequalities, Math. Ineq. Appl., Vol. 13, 2010, No. 4, 715–723.
- Neuman, E., J. Sándor, Optimal inequalities for hyperbolic and trigonometric functions, Bull. Math. Anal. Appl., Vol. 3, 2011, No. 3, 177–181.
- Sándor, J., Two sharp inequalities for trigonometric and hyperbolic functions, ath. Ineq. Appl., to appear

## Related papers

## Cite this paper

APASándor, J. (2013). Sharp Cusa–Huygens and related inequalities, Notes on Number Theory and Discrete Mathematics, 19(1), 50-54.

ChicagoSándor, József. “Sharp Cusa–Huygens and related inequalities.” Notes on Number Theory and Discrete Mathematics 19, no. 1 (2013): 50-54.

MLASándor, József. “Sharp Cusa–Huygens and related inequalities.” Notes on Number Theory and Discrete Mathematics 19.1 (2013): 50-54. Print.