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Why Hölder's inequality should be called Rogers' inequality
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
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.
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URN: urn:nbn:se:ltu:diva-2425Local ID: 00c8b880-a576-11db-9811-000ea68e967bOAI: diva2:975277
Godkänd; 1998; 20070112 (kani)Available from: 2016-09-29 Created: 2016-09-29Bibliographically approved

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