a) Prove that pointwise on ( , ) and uniformly on any a, b ( n, ) b) Prove that uniformly on , c) Find a value for 2 4 cos(2k 1)x k 1 (2k 1) k 1...

a By Example 148 this is the Fourier series of x Hence by Theorem 1429 a ...

a) Prove that pointwise on (-, ) and uniformly on any [a, b] (-n, ). b)

Question:

a) Prove that

pointwise on (-Ï€, Ï€) and uniformly on any [a, b] Š‚ (-n, Ï€).
b) Prove that

uniformly on [-Ï€, Ï€].
c) Find a value for

A) Prove thatpointwise on (-Ï€, Ï€) and uniformly on any

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Question Posted: Mar 29, 2016 04:30 AM

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a) Prove that pointwise on (-, ) and uniformly on any [a, b] (-n, ). b)

Question:

2 4 cos(2k-1)x k=1 (2k 1) k=1

Step by Step Answer:

a By Example 148 this is the Fourier series of x Hence by Theorem 1429 a...View the full answer

An Introduction to Analysis

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