Theorems · Theorem · approximation theory

Asymptotics.SuperpolynomialDecay.polynomial_mul

∀ {α : Type u_1} {β : Type u_2} {l : Filter α} {k f : α → β} [inst : TopologicalSpace β] [inst_1 : CommSemiring β]
  [ContinuousAdd β] [ContinuousMul β],
  Asymptotics.SuperpolynomialDecay l k f →
    ∀ (p : Polynomial β), Asymptotics.SuperpolynomialDecay l k fun x => Polynomial.eval (k x) p * f x

Defined in

Mathlib.Analysis.Asymptotics.SuperpolynomialDecay

Cited by

1 results in Mathlib

Foundations

Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceCommSemiringContinuousAddContinuousMul