Hostname: page-component-745bb68f8f-g4j75 Total loading time: 0 Render date: 2025-02-11T20:04:18.923Z Has data issue: false hasContentIssue false
  • English
  • Français

Various perspectives on a pair of simple inequalities for log x

Published online by Cambridge University Press:  11 October 2023

G. J. O. Jameson
G. J. O. Jameson*
Affiliation:
13 Sandown Road, Lancaster LA1 4LN e-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Extract

The basic inequalities

The inequalities in question are(1)

and(2)

for x > 1.

Type
Articles
Information
The Mathematical Gazette , Volume 107 , Issue 570 , November 2023 , pp. 430 - 437
Check for updates
Copyright
© The Authors, 2023 Published by Cambridge University Press on behalf of The Mathematical Association

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Mercer, Peter R., Cauchy's mean value theorem meets the logarithmic mean, Math. Gaz. 101 (March 2017) pp. 108–115.CrossRefGoogle Scholar
Jameson, Graham and Mercer, Peter R., The logarithmic mean revisited, Amer. Math. Monthly 126 (2019) pp. 641–645.CrossRefGoogle Scholar
Jameson, G. J. O., Monotonic ratios of functions, Math. Gaz. 105 (March 2021) pp. 129–134.CrossRefGoogle Scholar