On two new means of two variables

József Sándor
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 20, 2014, Number 1, Pages 1–9
Full paper (PDF, 168 Kb)

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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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