Let (X, M, µ) be a measure space such that uX = 1, and let f : X → (0, 1). Show that u) / fdµ 2 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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How to verify that jensen's Inequality can apply to this problem?

Let (X, M, µ) be a measure space such that µX = 1, and let f : X → (0,1). Show
that
f-\dµ) | fdµ>1
Transcribed Image Text:Let (X, M, µ) be a measure space such that µX = 1, and let f : X → (0,1). Show that f-\dµ) | fdµ>1
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