József Sándor

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

Volume 20, 2014, Number 1, Pages 1—9

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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

Let A, G and L denote the arithmetic, geometric resp. logarithmic means of two positive number, and let P denote the Seiffert mean. We study the properties of two new means X resp. Y , defined by X = A · e^{G / P−1} and Y = G · e^{L /A − 1}.

### Keywords

- Means and their inequalities
- Convexity
- Trigonometric inequalities
- Integral inequalities

### AMS Classification

- 26D05
- 26D15
- 26D99

### References

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http://arxiv.org/abs/1105.0859. - Sándor, J. On certain conjectures by Russo, Smarandache Notions J., Vol. 13, 2002, No. 1–3, 21–22.

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## Cite this paper

APASándor, J. (2014). On two new means of two variables. Notes on Number Theory and Discrete Mathematics, 20(1), 1-9.

ChicagoSándor, József. “On Two New Means of Two Variables.” Notes on Number Theory and Discrete Mathematics 20, no. 1 (2014): 1-9.

MLASándor, József. “On Two New Means of Two Variables.” Notes on Number Theory and Discrete Mathematics 20.1 (2014): 1-9. Print.