4. Let f be integrable on [-n, n] and L E R. (a) Prove that if (O'Nf)(XO)...

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4. Let f be integrable on [-n, n] and L E R.

(a) Prove that if (O'Nf)(XO) ----; L as N ----; 00 and if (Sf)(xo) converges, then

(SNf)(XO) ----; L.

(b) Prove that M ~ 4(-1)ksinV2n sin v 2 n + 6 2 _ k2 cos kx k=l converges to V2n cos V2 x uniformly on R.

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An Introduction To Analysis

ISBN: 9780131453333

3rd Edition

Authors: William R. Wade

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Question Posted: Jul 19, 2024 01:08 AM

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4. Let f be integrable on [-n, n] and L E R. (a) Prove that if (O'Nf)(XO)...

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An Introduction To Analysis

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