A Communicating-Vessels Proof of Hölder’s Inequality

Mark Levi; Tadashi Tokieda

doi:10.1080/00029890.2021.1865728

A Communicating-Vessels Proof of Hölder’s Inequality

Mark Levi
, Tadashi Tokieda

Research output: Contribution to journal › Comment/debate › peer-review

2 Scopus citations

Abstract

Hölder’s inequality receives a variety of proofs in the literature. This note gives a new derivation, interpreting the inequality as the tendency of still water to settle in the lowest potential energy.

Original language	English (US)
Pages (from-to)	370
Number of pages	1
Journal	American Mathematical Monthly
Volume	128
Issue number	4
DOIs	https://doi.org/10.1080/00029890.2021.1865728
State	Published - 2021

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1080/00029890.2021.1865728

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title = "A Communicating-Vessels Proof of H{\"o}lder{\textquoteright}s Inequality",

abstract = "H{\"o}lder{\textquoteright}s inequality receives a variety of proofs in the literature. This note gives a new derivation, interpreting the inequality as the tendency of still water to settle in the lowest potential energy.",

author = "Mark Levi and Tadashi Tokieda",

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language = "English (US)",

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T1 - A Communicating-Vessels Proof of Hölder’s Inequality

AU - Levi, Mark

AU - Tokieda, Tadashi

PY - 2021

Y1 - 2021

N2 - Hölder’s inequality receives a variety of proofs in the literature. This note gives a new derivation, interpreting the inequality as the tendency of still water to settle in the lowest potential energy.

AB - Hölder’s inequality receives a variety of proofs in the literature. This note gives a new derivation, interpreting the inequality as the tendency of still water to settle in the lowest potential energy.

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UR - https://www.scopus.com/pages/publications/85102989076#tab=citedBy

U2 - 10.1080/00029890.2021.1865728

DO - 10.1080/00029890.2021.1865728

M3 - Comment/debate

AN - SCOPUS:85102989076

SN - 0002-9890

VL - 128

SP - 370

JO - American Mathematical Monthly

JF - American Mathematical Monthly

IS - 4

ER -

A Communicating-Vessels Proof of Hölder’s Inequality

Abstract

All Science Journal Classification (ASJC) codes

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