22.A. Let g be defined on I = (0, 1] by 0 < * < }, 'I S* > { g(x) = 0, %3D 1, %3D Show that a bounded function f is integrable with respect to g on I if and only if f is continuous at į from the right and in this case, then f dg = f(}).

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ISBN:9780470458365
Author:Erwin Kreyszig
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22.A

22.A. Let g be defined on I = (0, 1] by
0 < * < },
} < * < 1.
g (x) = 0,
1,
Show that a bounded function ƒ is integrable with respect to g on I if and only
if f is continuous at from the right and in this case,
then
f dg = f(}).
Transcribed Image Text:22.A. Let g be defined on I = (0, 1] by 0 < * < }, } < * < 1. g (x) = 0, 1, Show that a bounded function ƒ is integrable with respect to g on I if and only if f is continuous at from the right and in this case, then f dg = f(}).
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