Hölder mean

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs power mean
gptkbp:appliesTo positive real numbers
gptkbp:definedIn parameter p
gptkbp:field gptkb:mathematics
mathematical analysis
statistics
gptkbp:form ( (1/n) * sum_{i=1}^n x_i^p )^{1/p} for p ≠ 0
gptkbp:generalizes gptkb:arithmetic_mean
gptkb:harmonic_mean
geometric mean
gptkbp:hasSpecialCase arithmetic mean (p=1)
geometric mean (p=0, limit)
harmonic mean (p=-1)
https://www.w3.org/2000/01/rdf-schema#label Hölder mean
gptkbp:namedAfter gptkb:Otto_Hölder
gptkbp:relatedTo gptkb:Hölder's_inequality
gptkb:Minkowski_inequality
generalized mean
gptkbp:usedIn data analysis
inequality proofs
gptkbp:bfsParent gptkb:Otto_Hölder
gptkbp:bfsLayer 5