József Sándor
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 23, 2017, Number 4, Pages 52—55
Download full paper: PDF, 133 Kb
Details
Authors and affiliations
József Sándor
Department of Mathematics, Babeș-Bolyai University
Cluj-Napoca, Romania
Abstract
As applications of the Hadamard integral inequality, we offer two inequalities for trigonometric, resp. hyperbolic functions. One of results gives a new proof of the Iyengar–Madhava Rao–Nanjundiah inequality for (sin x / x).
Keywords
- BInequalities
- Trigonometric functions
- Hyperbolic functions
- Hadamard’s integral inequality
- Iyengar–Madhava Rao–Nanjundiah inequality
- Adamovic–Mitrinovic inequality
AMS Classification
- 26D05
- 26D07
- 26D15
- 26D99
References
- Iyengar, K. S. K., Madhava Rao, B. S., & Nanjundiah, T. S. (1945) Some trigonometrical inequalities, Half-Yearly J. Mysore Univ. Sect. B., NS, 6, 1–12.
- Mitrinovic, D. S. (1970) Analytic inequalities, Springer–Verlag, Berlin.
- Sándor, J. (2005) On the concavity of (sin x / x) ; Octogon Math. Mag., 13(1), 406–407.
Related papers
Cite this paper
Sándor, J. (2017). Two Applications of the Hadamard Integral Inequality. Notes on Number Theory and Discrete Mathematics, 23(4), 52-55.