Theorems · Theorem · approximation theory

ContinuousOn.isBigOWith_principal

∀ {α : Type u_1} {E : Type u_2} {F : Type u_3} [inst : TopologicalSpace α] {s : Set α} {f : α → E} {c : F}
  [inst_1 : SeminormedAddGroup E] [inst_2 : Norm F],
  ContinuousOn f s →
    IsCompact s → ‖c‖ ≠ 0 → Asymptotics.IsBigOWith (sSup (norm '' f '' s) / ‖c‖) (Filter.principal s) f fun x => c

Defined in

Mathlib.Analysis.Asymptotics.Lemmas

Cited by

1 results in Mathlib

Foundations

Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceSeminormedAddGroupNorm