Talk:Trigonometric polynomial

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You have new messages (last change).

It seems to me there's something wrong with this line for the real trig polynomial:

T_N(x) = \sum_{n=0}^N a_n \cos (nx) + \sum_{n=0}^N a_n \sin(nx) \qquad (x \in \mathbf{R})

Shouldn't the coefficients for cos and sin be different, like ancos(nx) and bnsin(nx)? Because, otherwise wouldn't this just be a single sum like this:

T_N(x) = \sum_{n=0}^N {a_n (\cos (nx) + \sin(nx))}

Something is definitely wrong here...

Edsanville 20:32, 23 Aug 2004 (UTC)

You were correct, i fixed the definition. My mistake. MathMartin 11:45, 27 Aug 2004 (UTC)

[edit] Notational inconsistency

The page uses an upright "i" for i, but inconsistently uses italic e for e. I prefer i for the imaginary unit in most cases, but I didn't change the page because I don't want to step on toes. 165.189.91.148 18:51, 1 June 2006 (UTC)

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