Theorems · Theorem · approximation theory

Asymptotics.IsBigO.fun_sum

∀ {α : Type u_1} {F : Type u_4} {E' : Type u_6} [inst : Norm F] [inst_1 : SeminormedAddCommGroup E'] {g : α → F}
  {l : Filter α} {ι : Type u_18} {A : ι → α → E'} {s : Finset ι},
  (∀ i ∈ s, A i =O[l] g) → (fun a => ∑ c ∈ s, A c a) =O[l] g

Eta-expanded form of Asymptotics.IsBigO.sum

Defined in

Mathlib.Analysis.Asymptotics.Defs

Cited by

3 results in Mathlib

Foundations

Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormSeminormedAddCommGroup