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searching for Dominated convergence theorem 2 found (63 total)

alternate case: dominated convergence theorem

Ergodic theory (3,727 words) [view diff] exact match in snippet view article find links to article

true if 1 < p ≤ ∞ then the Wiener–Yoshida–Kakutani ergodic dominated convergence theorem states that the ergodic means of ƒ ∈ Lp are dominated in Lp;

Riesz–Thorin theorem (6,116 words) [view diff] exact match in snippet view article find links to article

\left\vert h_{n}\right\vert \leq \left\vert h\right\vert } , by the dominated convergence theorem one readily has ‖ f n ‖ p θ → ‖ f ‖ p θ ‖ g n ‖ p 0 → ‖ g ‖