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Some inequalities for power means: a problem from "The logarithmic mean revisited"

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Some inequalities for power means: a problem from "The logarithmic mean revisited". / Jameson, Graham.
In: American Mathematical Monthly, Vol. 130, No. 3, 30.09.2023, p. 276-278.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Jameson, G 2023, 'Some inequalities for power means: a problem from "The logarithmic mean revisited"', American Mathematical Monthly, vol. 130, no. 3, pp. 276-278. https://doi.org/10.1080/00029890.2022.2153560

APA

Jameson, G. (2023). Some inequalities for power means: a problem from "The logarithmic mean revisited". American Mathematical Monthly, 130(3), 276-278. https://doi.org/10.1080/00029890.2022.2153560

Vancouver

Jameson G. Some inequalities for power means: a problem from "The logarithmic mean revisited". American Mathematical Monthly. 2023 Sept 30;130(3):276-278. Epub 2023 Jan 11. doi: 10.1080/00029890.2022.2153560

Author

Jameson, Graham. / Some inequalities for power means : a problem from "The logarithmic mean revisited". In: American Mathematical Monthly. 2023 ; Vol. 130, No. 3. pp. 276-278.

Bibtex

@article{173289736e0e4d0cab5d9112e5ce290c,
title = "Some inequalities for power means: a problem from {"}The logarithmic mean revisited{"}",
abstract = "We establish some inequalities comparing power means of two numbers with combinations of the arithmetic and geometric means. A conjecture from [Citation1] is confirmed.",
author = "Graham Jameson",
year = "2023",
month = sep,
day = "30",
doi = "10.1080/00029890.2022.2153560",
language = "English",
volume = "130",
pages = "276--278",
journal = "American Mathematical Monthly",
issn = "0002-9890",
publisher = "Mathematical Association of America",
number = "3",

}

RIS

TY - JOUR

T1 - Some inequalities for power means

T2 - a problem from "The logarithmic mean revisited"

AU - Jameson, Graham

PY - 2023/9/30

Y1 - 2023/9/30

N2 - We establish some inequalities comparing power means of two numbers with combinations of the arithmetic and geometric means. A conjecture from [Citation1] is confirmed.

AB - We establish some inequalities comparing power means of two numbers with combinations of the arithmetic and geometric means. A conjecture from [Citation1] is confirmed.

U2 - 10.1080/00029890.2022.2153560

DO - 10.1080/00029890.2022.2153560

M3 - Journal article

VL - 130

SP - 276

EP - 278

JO - American Mathematical Monthly

JF - American Mathematical Monthly

SN - 0002-9890

IS - 3

ER -