Hostname: page-component-7b7567c8c-7pwfn Total loading time: 0 Render date: 2026-11-12T19:55:00.425Z Has data issue: false hasContentIssue false
  • English
  • Français

107.06 Proving inequalities via definite integration: a visual approach

Published online by Cambridge University Press:  16 February 2023

Nazrul Haque and
Ángel Plaza
Nazrul Haque
Affiliation:
Ramakrishna Mission Vivekananda Centenary College, West Bengal, India e-mail: nazrul@rkmvccrahara.org
Ángel Plaza
Affiliation:
University of Las Palmas de Gran Canaria, Spain e-mail: angel.plaza@ulpgc.es

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.'

Information

Type
Notes
Information
The Mathematical Gazette , Volume 107 , Issue 568 , March 2023, pp. 136 - 140
Check for updates
Copyright
© The Authors, 2023. Published by Cambridge University Press on behalf of The Mathematical Association

References

Haque, N., A Visual Proof that e ≤ A ≤ B ⇒ A B > B A , Resonance, 26(1) (2021) pp. (127–128).10.1007/s12045-020-1109-5CrossRefGoogle Scholar
Mukherjee, A. and Chakraborty, B., Yet Another Visual Proof that π e < e π , Math. Intelligencer, 41(2) (2019) p. 60.CrossRefGoogle Scholar
Gallant, C., A B > B A for e ≤ A ≤ B , Math. Mag. 64(1) (1991) p. 31.CrossRefGoogle Scholar
Yuefeng, N., Proof Without Words: Jordan’s inequality, Math. Mag., 69(2) (1996) p. 126.CrossRefGoogle Scholar
Nelsen, R., Proof without words II (2000), MAA.Google Scholar
Plaza, A., Harmonic, Logarithmic, and Arithmetic Means and corollaries, Amer. Math. Monthly, 127(5) (2020), p. 427. CrossRefGoogle Scholar
Plaza, A., HM-LM-AM Inequalities, Math. Mag., 94(2) (2021), p. 148. CrossRefGoogle Scholar