Let N be a nonempty set and B a o-ring on N. Let µ, v be two measures on B and μ(A) < ν(Α), A € B. Show that fdµ < / fdv or all nonnegative measurable f :N→ [0, ∞0].
Let N be a nonempty set and B a o-ring on N. Let µ, v be two measures on B and μ(A) < ν(Α), A € B. Show that fdµ < / fdv or all nonnegative measurable f :N→ [0, ∞0].
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Step 1
Let be a non- empty set.
And a sigma ring on .
Let be the two measures on
And , .
The objective is to show that for all non-negative measurable .
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