Suppose that f : [0, 1] [a, b] is integrable on [0, 1]. Assume that ef(x)

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Suppose that f : [0, 1] †’ [a, b] is integrable on [0, 1]. Assume that ef(x) and |f(x)|p are integrable for all 0 a) Prove that

for all 0 b) If 0

c) State and prove analogues of these results for improper integrals.

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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 04:05 AM

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Suppose that f : [0, 1] [a, b] is integrable on [0, 1]. Assume that ef(x)

Question:

1/r lo fx) dx (lisordx If(x)| dx dx and If(x)l" dx

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These are all straight forward applications of Jensens Inequa...View the full answer

An Introduction to Analysis

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