There are two continuous function p and q in the continuous interval[-1,1] , prove the following inner product space is undefined

Integrate (x*p(x)*q(x)) d(x) (from -1 to 1)

I have no clue in how to prove this =(

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- May 6th 2010, 06:02 AMMichaelChunInner product space help
There are two continuous function p and q in the continuous interval[-1,1] , prove the following inner product space is undefined

Integrate (x*p(x)*q(x)) d(x) (from -1 to 1)

I have no clue in how to prove this =( - May 6th 2010, 06:15 AMdwsmith
- May 6th 2010, 08:11 AMHallsofIvy
Is "undefined"???

Quote:

Integrate (x*p(x)*q(x)) d(x) (from -1 to 1)

I have no clue in how to prove this =(

**defines**an inner product on that space". And you do that, as dwsmith said, by showing that the "rules" for an inner product are satisfies. - May 6th 2010, 02:36 PMMichaelChun
- May 6th 2010, 02:53 PMdwsmith
- May 6th 2010, 03:24 PMMichaelChun
- May 6th 2010, 03:28 PMdwsmith