Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:inequality
|
| gptkbp:appliesTo |
gptkb:Lp_spaces
integrals sums |
| gptkbp:category |
Inequalities
|
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:firstPublished |
1889
|
| gptkbp:generalizes |
gptkb:Cauchy-Schwarz_inequality
|
| https://www.w3.org/2000/01/rdf-schema#label |
Holder's inequality
|
| gptkbp:namedAfter |
gptkb:Otto_Hölder
|
| gptkbp:sentence |
For measurable functions f and g and conjugate exponents p, q > 1 with 1/p + 1/q = 1, ∫|fg| ≤ (∫|f|^p)^{1/p} (∫|g|^q)^{1/q}.
|
| gptkbp:usedIn |
gptkb:probability_theory
analysis functional analysis |
| gptkbp:bfsParent |
gptkb:arithmetic-geometric_mean_inequality
|
| gptkbp:bfsLayer |
5
|