Hölder's inequality
Desigualdad de Hölder
- Date
- 1889 · confidence high
- Place
- Tübingen, Germany
- Credited to
- Otto Hölder
- Field
- Knowledge & symbols
⚠️ Disputed: the sources disagree.
What was discovered
A fundamental inequality between integrals of products of functions, an essential tool for the study of Lp spaces in functional analysis. The case p=q=2 gives the Cauchy-Schwarz inequality.
Leonard James Rogers had published an equivalent proof a year earlier, in 1888; it is sometimes called the Rogers-Hölder inequality.
What it led to
- Systematic development of Lp spaces
- Foundations of modern functional analysis