Suppose m is a positive f& La(μ), 11 £1100 2o and 2n = Ln Prove that = √ 1+1" 1₂" (n=1₁2,...) measure lim 2n+1 = || f 1100 d M on X, (X)<∞,
Suppose m is a positive f& La(μ), 11 £1100 2o and 2n = Ln Prove that = √ 1+1" 1₂" (n=1₁2,...) measure lim 2n+1 = || f 1100 d M on X, (X)<∞,
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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Question
![suppose
r
f& L(μ), 11 £1100 so and
Prove that
is a positive measure
2n = √√1f1" d/^" (n = 1₁2,...)
Ln
lim
878
dntl
dn
= || f 1100
on X, (x) <∞,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb2961028-b349-4b1b-a962-33194a8696dd%2F81cbcf94-826b-4e79-8a06-4f724c16c11f%2Fxrz29f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:suppose
r
f& L(μ), 11 £1100 so and
Prove that
is a positive measure
2n = √√1f1" d/^" (n = 1₁2,...)
Ln
lim
878
dntl
dn
= || f 1100
on X, (x) <∞,
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