Series expansions related to the logarithmic mean

József Sándor
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 22, 2016, Number 2, Pages 54–57
Full paper (PDF, 126 Kb)

Details

Authors and affiliations

József Sándor
Babeș-Bolyai University, Department of Mathematics
Cluj, Romania

Abstract

We show that the Gregory series combined with Newton’s binomial expansion give a natural approach to the logarithmic mean inequalities.

Keywords

• Gregory series
• Newton binomial series
• Logarithmic mean

AMS Classification

• 26D15
• 26D99
• 26A06

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