Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-27T08:14:28.885Z Has data issue: false hasContentIssue false
  • English
  • Français

108.34 One sharpening of the Garfunkel-Bankoff inequality and some applications

Published online by Cambridge University Press:  23 August 2024

Martin Lukarevski
Martin Lukarevski*
Affiliation:
Department of Mathematics and Statistics, University ”Goce Delcev” - Stip, North Macedonia e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Notes
Information
The Mathematical Gazette , Volume 108 , Issue 572 , July 2024 , pp. 348 - 351
Check for updates
Copyright
© The Authors, 2024 Published by Cambridge University Press on behalf of The Mathematical Association

References

Bottema, O., Djordjevic, R. Z., Janic, R. R., Mitrinovic, D. S., Vasic, P. M., Geometric inequalities., Groningen, Wolters-Noordhoff (1969).Google Scholar
Lukarevski, M., A new look at the fundamental triangle inequality, Math. Mag. 96 (2), (2023) p. 141–149.CrossRefGoogle Scholar
Problem 825 (proposed by J. Garfunkel, solution by L. Bankoff) Crux Math. 9 (1983) p. 79 and 10 (1984) p. 168.Google Scholar
Lukarevski, M., A simple proof of Kooi’s inequality, Math. Mag. 93 (3), (2020) p. 225.CrossRefGoogle Scholar
Lukarevski, M., Wolstenholme’s inequality and its relation to the Barrow and Garfunkel-Bankoff inequalities, Math. Gaz. 107 (March 2023) pp. 70–75.CrossRefGoogle Scholar
Lukarevski, M., Marinescu, D. S., A refinement of the Kooi’s inequality, Mittenpunkt and applications, J. Inequal. Appl. 13 (3), (2019) pp. 827–832.CrossRefGoogle Scholar
Lukarevski, M., Proximity of the incentre to the inarc centres, Math. Gaz. 105 (March 2021) pp. 142–147.CrossRefGoogle Scholar
Leversha, G., The geometry of the triangle, UKMT (2013).Google Scholar
Finsler, P., Hadwiger, H., Einige Relationen im Dreieck, Commentarii Mathematici Helvetici, 10 (1937), no.1, pp. 316–326.CrossRefGoogle Scholar
Lukarevski, M., The circummidarc triangle and the Finsler-Hadwiger inequality, Math. Gaz. 104 (July 2020) pp. 335–338.CrossRefGoogle Scholar
Lukarevski, M., Exarc radii and the Finsler-Hadwiger inequality, Math. Gaz. 106 (March 2022) pp. 138–143.CrossRefGoogle Scholar