Consider the function F(x) = 1/|x|" Sir-ul<2le| |f(y)|dy for f e L'(R). Show that F ¢ L'(R)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the function F(x) = 1/|æ|" Sim-u<2lz| |f (y)\dy for f € L'(R). Show that F ¢ L'(R)
Transcribed Image Text:Consider the function F(x) = 1/|æ|" Sim-u<2lz| |f (y)\dy for f € L'(R). Show that F ¢ L'(R)
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