Let {fn}n>1 and {9n}n≥1 be measurable functions on (S,F,μ) to R and an (w) ↑ f(w) for all w & S. Ther
Let {fn}n>1 and {9n}n≥1 be measurable functions on (S,F,μ) to R and an (w) ↑ f(w) for all w & S. Ther
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
M3
Transcribed Image Text:Let {fn}n>1 and {9n}n>1 be two sequences of simple
nonnegative measurable functions on (S,F,u) to R+ such that as n →∞0,
fn (w) ↑ f(w) and gn (w) ↑ f(w) for all w En. Then
lim
| fndμ = lim
818
lim Ind.
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