Otto Hölder


Otto Hölder German mathematician (1859–1937) best known for Hölder’s inequalityMathworldPlanetmath and the Jordan-Hölder theorem (http://planetmath.org/JordanHolderDecompositionTheorem). Hölder also made many essential first steps in the then emerging study of groups. Some of his results include a completePlanetmathPlanetmath classification of the groups of order (http://planetmath.org/OrderGroup) p2,p3,p4, pq and p2q (p and q different primes) and are an early example of the power of the Sylow theoremsMathworldPlanetmath for finite groupMathworldPlanetmath theory.

He studied at the University of Berlin, got his doctorate from the University of Tübingen, and taught at the University of Leipzig.

The generalized meanMathworldPlanetmath is sometimes called the “Hölder mean”.

Title Otto Hölder
Canonical name OttoHolder
Date of creation 2013-03-22 16:14:22
Last modified on 2013-03-22 16:14:22
Owner Mravinci (12996)
Last modified by Mravinci (12996)
Numerical id 11
Author Mravinci (12996)
Entry type Definition
Classification msc 01A60
Synonym Otto Holder
Synonym Otto Hoelder