The sup norm is the standard norm on C[a,b] (the set of functions continuous on the interval [a, b]).
Folks,
If given p =3 and q=6 any numbers and the set
Is my graph of f(x)=x^3 +3 shown in this wolfram link correct based on this set?
plot y(x)=x^3+3 between 3 and 6 - Wolfram|Alpha
1) What norm is this C[a,b] is representing...is it a sup norm, taxi cab norm?
2) What is the effect if the C[a,b] with sup norm is required?
Thanks
Ok, another question suppose I have
How would I plot this assuming we know the functions ie, f(x)=x^3+3 and g(x)=x-1. Will the sup norm norm involve max{|f(x)|,|g(x)| for plotting?
Thanks
Also posted here but will keep each forum informed of responses. Thanks
Functions in Normed Linear Space