Consider linear vector space c¹ ([a,b]) = {f: [a,b] → Rf and f are continous on [a, b]} ||f||0,1:= max If(x)| + max f(x)| Let f(x) = sin(x). Find fo.1 in C¹([0,1]).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider linear vector space
C¹ ([a,b]) = {f: [a, b] → R If and f are continous on [a, b]}
||f||0,1₁:= max f(x)| + max f(x)|
x€ab]
x€[a,b)
Let f(x) = sin(x). Find ||f1 in C¹([0,1]).
Transcribed Image Text:Consider linear vector space C¹ ([a,b]) = {f: [a, b] → R If and f are continous on [a, b]} ||f||0,1₁:= max f(x)| + max f(x)| x€ab] x€[a,b) Let f(x) = sin(x). Find ||f1 in C¹([0,1]).
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