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Solved: 1-6. Let Fand G Be Integrable On (a,b]. (a) Prove That ISos Gl S(S).(g)Hint : Consider Separately The Cases 0 Afg)2 For All A E R. (b) If Equality Holds, Must F =Jas-Ag)2 For Some ER And 0 Ag

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1-6. Let fand g be integrable on (a,b]. (a) Prove that ISos gl s(S).(g)Hint : Consider separately the cases 0 afg)2 for all A



1-6. Let fand g be integrable on (a,b]. (a) Prove that ISos gl s(S).(g)Hint : Consider separately the cases 0 afg)2 for all A E R. (b) If equality holds, must f =Jas-Ag)2 for some ER and 0 Ag for some E R? What if fand g are continuous? ees0 of (a)

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"for all lambda elementof R, integral^b_a (f - lambda g)^2 greaterthanorequalto 0 Rightarrow integral^b_a f^2 + lambda^2 integral^b_a g^2 - lambda i

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