Theorems · Theorem · approximation theory

ContinuousOn.isBigOWith_rev_principal

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

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

TopologicalSpaceNormedAddGroupSeminormedAddGroup