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Otto and Hölder
In mathematics, a generalized mean, also known as power mean or Hölder mean ( named after Otto Hölder ), is an abstraction of the Pythagorean means including arithmetic, geometric, and harmonic means.
Historically, the axiomatization of an ordered field was abstracted gradually from the real numbers, by mathematicians including David Hilbert, Otto Hölder and Hans Hahn.
In mathematical analysis Hölder's inequality, named after Otto Hölder, is a fundamental inequality between integrals and an indispensable tool for the study of L < sup > p </ sup > spaces.
Otto Ludwig Hölder ( December 22, 1859 – August 29, 1937 ) was a German mathematician born in Stuttgart.
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# REDIRECT Otto Hölder
However, the Jordan – Hölder theorem ( named after Camille Jordan and Otto Hölder ) states that any two composition series of a given group are equivalent.
Otto Hölder showed that every linearly ordered group satisfying an Archimedean property is isomorphic to a subgroup of the additive group of real numbers,.
* Otto Ludwig Hölder ( 1859 – 1937 ), German mathematician
The axioms of quantity and the theory of measurement: translated from Part I of Otto Hölder ’ s German text " Die Axiome der Quantität und die Lehre vom Mass ".
His dissertation under Otto Hölder and Karl Rohn ( 1914 ) was On the Decomposition of Polygons in non-intersecting triangles on the Basis of the Axioms of Connection and Order.
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