Hölder condition

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:C positive constant
gptkbp:category function space
gptkbp:describes regularity of functions
gptkbp:expressedIn |f(x) - f(y)| ≤ C|x - y|^α
gptkbp:field mathematical analysis
gptkbp:generalizes Lipschitz condition
https://www.w3.org/2000/01/rdf-schema#label Hölder condition
gptkbp:implies uniform continuity
gptkbp:namedAfter gptkb:Otto_Hölder
gptkbp:parameter gptkb:Hölder_exponent
gptkbp:relatedTo Lipschitz continuity
gptkbp:usedIn functional analysis
partial differential equations
gptkbp:α gptkb:Hölder_exponent
real number in (0,1]
gptkbp:bfsParent gptkb:Otto_Hölder
gptkbp:bfsLayer 5