julesh on Nostr: I have a probably-basic analysis question Nonnegative numbers satisfy the inequality ...
I have a probably-basic analysis question
Nonnegative numbers satisfy the inequality
𝑥₁𝑦₁ + 𝑥₂𝑦₂ ≤ (𝑥₁ + 𝑥₂)(𝑦₁ + 𝑦₂)
Do nonnegative functions satisfy the corresponding inequality
∫ 𝑓𝑔 ≤ (∫ 𝑓)(∫ 𝑔) ?
(In case it helps I think I can also guarantee that the integrals are all finite)
Published at
2025-10-29 19:58:00 UTCEvent JSON
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