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(Solved): Sea f_(k):(0,1)->R la funcin f_(k)(x):=sen^(k)(k\pi x) a) Prueba que f_(k)inL^(p)(0,1) para tod ...



Sea

f_(k):(0,1)->R

la función

f_(k)(x):=sen^(k)(k\pi x)

a) Prueba que

f_(k)inL^(p)(0,1)

para todo

p in[1,\infty ]

b) Prueba que

f_(k)->0

en

l^(p)(0,1)

para todo

p in[1,\infty ]

.



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