Ludwig Otto Hölder (December 22, 1859 – August 29, 1937) was a German mathematician born in Stuttgart. Hölder was the youngest of three sons of professor...

complex-valued function f on d-dimensional Euclidean space satisfies a Hölder condition, or is Hölder continuous, when there are real constants C ≥ 0, α {\displaystyle...

In mathematical analysis, Hölder's inequality, named after Otto Hölder, is a fundamental inequality between integrals and an indispensable tool for the...

Hölder is a German surname. Notable people with the surname include: Otto Hölder (1859–1937), German mathematician Ernst Hölder (1901−1990), German mathematician...

than one composition series. However, the Jordan–Hölder theorem (named after Camille Jordan and Otto Hölder) states that any two composition series of a given...

Berlin. Hölder was the eldest son of Otto Hölder, who was also a mathematician and professor at the University of Leipzig. "Hölder, Ernst Otto | Bundesstiftung...

In mathematics, generalized means (or power mean or Hölder mean from Otto Hölder) are a family of functions for aggregating sets of numbers. These include...

By a result of Otto Hölder, every Archimedean group is isomorphic to a subgroup of this group. The name "Archimedean" comes from Otto Stolz, who named...

proof of the same inequality for doubly-differentiable functions by Otto Hölder in 1889. Given its generality, the inequality appears in many forms depending...

is twice differentiable, if f is bounded and locally Hölder continuous as shown by Otto Hölder. It was an open question whether continuity alone is also...

been denoted by H or Hq in honor of both Harold Edwin Hurst and Ludwig Otto Hölder (1859–1937) by Benoît Mandelbrot (1924–2010). H is directly related to...

coefficients are rational functions. This result was first proved by Otto Hölder in 1887; several alternative proofs have subsequently been found. The...

Later classical writers on the general theory include Richard Dedekind, Otto Hölder, Felix Klein, Henri Poincaré, Hermann Schwarz, Karl Weierstrass and many...

gradually from the real numbers, by mathematicians including David Hilbert, Otto Hölder and Hans Hahn. This grew eventually into the Artin–Schreier theory of...

philosophy with the grade "very good". He went on to earn his PhD with Otto Hölder and Karl Rohn and a dissertation called "The rational curve of degree...

decades later by (and sometimes attributed to) Vincenzo Mollame and Otto Hölder. Ordinarily he worked evenings, not lying down until late; then he read...

the fact that every finite group is a subgroup of a permutation group. Otto Hölder was particularly prolific in this area, defining quotient groups in 1889...

Bassett Holder (1824–1888), American zoologist and physician Livingston L. Holder, Jr., an executive with a private spaceflight company Otto Hölder (1859–1937)...

function does not appear to satisfy any simple differential equation. Otto Hölder proved in 1887 that the gamma function at least does not satisfy any...

Mittelherwigsdorf. Korselt's 1902 dissertation at Leipzig University (adviser Otto Hölder) was titled Über die Möglichkeit der Lösung merkwürdiger Dreiecksaufgaben...

possess a particular structure that was first explicitly characterized by Hölder (1901) as a set of axioms that define such features as identities and relations...

continuity Semi-continuity Equicontinuous Absolute continuity Hölder condition – condition for Hölder continuity Dirac delta function Heaviside step function...

Samuel Oppenheim,[citation needed] and the son-in-law of mathematician Otto Hölder. Spektraltheorie der unendlichen Matrizen, 1929 The Analytical Foundations...

So 1 − 2 + 3 − 4 + ... is (H, 2) summable to 1⁄4. The "H" stands for Otto Hölder, who first proved in 1882 what mathematicians now think of as the connection...

– a concept comprehensively treated by the German mathematician Otto Hölder (Hölder, 1901). Given that the physicist and measurement theorist Norman...

1918: Otto Hölder 1919: Hans von Mangoldt 1920: Robert Fricke 1921: Edmund Landau 1922: Arthur Moritz Schoenflies 1923: Erich Hecke 1924: Otto Blumenthal...

{\displaystyle H^{2}} ) arose in the work of Otto Hölder (1893), in Issai Schur's 1904 study of projective representations, in Otto Schreier's 1926 treatment, and in...

Lie algebras) or exotic. In fact, Out(S6) = C2. This was discovered by Otto Hölder in 1895. The specific nature of the outer automorphism is as follows...

Baumann (1846–1896), chemist Carl Magnus von Hell (1849–1926), chemist Otto Hölder (1859–1937), mathematician Wilhelm Weinberg (1862–1937), physician and...

torsion-free, finitely presented groups which are not left-orderable. Otto Hölder showed that every Archimedean group (a bi-ordered group satisfying an...