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Why Hölder's inequality should be called Rogers' inequality
1998 (English)In: Mathematical Inequalities & Applications, ISSN 1331-4343, E-ISSN 1848-9966, Vol. 1, no 1, 69-83 p.Article in journal (Refereed) Published
Abstract [en]

This reviewer remembers Leopold Fejér (1880-1959) saying (in Hungarian) that ``the history of mathematics serves to prove that nobody discovered anything: there was always somebody who had known it before'' (quoted in English in the present paper). The author argues convincingly about who had priority to the inequalities of Hölder (Rogers), Cauchy (Lagrange), Jensen (Hölder) and others. Also equivalences and relations between different forms and different inequalities and several proofs are offered. The paper concludes with biographical sketches of Leonard James Rogers and Otto Ludwig Hölder.

Place, publisher, year, edition, pages
1998. Vol. 1, no 1, 69-83 p.
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-228Local ID: 00c8b880-a576-11db-9811-000ea68e967bOAI: oai:DiVA.org:ltu-228DiVA: diva2:972340
Note

Godkänd; 1998; 20070112 (kani)

Available from: 2016-09-20 Created: 2016-09-20 Last updated: 2016-09-21Bibliographically approved

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Maligranda, Lech
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