On certain logarithmic inequalities

József Sándor
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 22, 2016, Number 4, Pages 20–24
Full paper (PDF, 139 Kb)

Details

Authors and affiliations

József Sándor
Babeș-Bolyai University
Cluj-Napoca, Romania

Abstract

We show how a logarithmic inequality from the book [1] is connected to means, and we offer new proofs, as well as refinements. We show that Karamata’s [2] and Leach–Sholander’s [3] inequality are in fact equivalent.

Keywords

• Logarithmic function
• Logarithmic mean
• Leach–Sholander inequality

AMS Classification

• 26D15
• 26D99

References

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