1. Let E ~ R and suppose that I, Ik : R --+ R are bounded functions....

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1. Let E ~ R and suppose that I, Ik : R --+ R are bounded functions. Prove that if L~=o Jk(x) converges to I(x) uniformly on E, then O'N(X) := t (1- N k 1) Jk(x)

k=O +

converges to I(x) uniformly on E as N --+ 00.

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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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1. Let E ~ R and suppose that I, Ik : R --+ R are bounded functions....

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An Introduction To Analysis

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